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Finding the Fourth Proportional to 438,428.10, 657,710.96 and 185,709.32

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Solution

The fourth proportional to 438,428.10, 657,710.96 and 185,709.32 is: 278,593.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,428.10 : 657,710.96 = 185,709.32 : x
  2. Step 2: Convert to fraction form
    438,428.10/657,710.96 = 185,709.32/x
  3. Step 3: Cross multiply
    438,428.10x = 657,710.96 × 185,709.32
  4. Step 4: Simplify right side
    438,428.10x = 122,143,053,387.46
  5. Step 5: Solve for x
    x = 122,143,053,387.46/438,428.10
  6. Step 6: Final answer
    x = 278,593.12

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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.