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Finding the Fourth Proportional to 1,007,042,500.42, 1,379,653,147.66 and 969,298,774.88

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Solution

The fourth proportional to 1,007,042,500.42, 1,379,653,147.66 and 969,298,774.88 is: 1,327,944,059.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007,042,500.42 : 1,379,653,147.66 = 969,298,774.88 : x
  2. Step 2: Convert to fraction form
    1,007,042,500.42/1,379,653,147.66 = 969,298,774.88/x
  3. Step 3: Cross multiply
    1,007,042,500.42x = 1,379,653,147.66 × 969,298,774.88
  4. Step 4: Simplify right side
    1,007,042,500.42x = 1,337,296,105,786,173,696
  5. Step 5: Solve for x
    x = 1,337,296,105,786,173,696/1,007,042,500.42
  6. Step 6: Final answer
    x = 1,327,944,059.19

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.