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Finding the Fourth Proportional to 556,140, 767,468.64 and 301,484.64

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Solution

The fourth proportional to 556,140, 767,468.64 and 301,484.64 is: 416,046.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,140 : 767,468.64 = 301,484.64 : x
  2. Step 2: Convert to fraction form
    556,140/767,468.64 = 301,484.64/x
  3. Step 3: Cross multiply
    556,140x = 767,468.64 × 301,484.64
  4. Step 4: Simplify right side
    556,140x = 231,380,006,641.69
  5. Step 5: Solve for x
    x = 231,380,006,641.69/556,140
  6. Step 6: Final answer
    x = 416,046.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.