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Finding the Fourth Proportional to 312,891.27, 469,181.47 and 99,631.34

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Solution

The fourth proportional to 312,891.27, 469,181.47 and 99,631.34 is: 149,397.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,891.27 : 469,181.47 = 99,631.34 : x
  2. Step 2: Convert to fraction form
    312,891.27/469,181.47 = 99,631.34/x
  3. Step 3: Cross multiply
    312,891.27x = 469,181.47 × 99,631.34
  4. Step 4: Simplify right side
    312,891.27x = 46,745,178,559.27
  5. Step 5: Solve for x
    x = 46,745,178,559.27/312,891.27
  6. Step 6: Final answer
    x = 149,397.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.