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Finding the Fourth Proportional to 657,909.73, 907,918.14 and 356,103.73

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Solution

The fourth proportional to 657,909.73, 907,918.14 and 356,103.73 is: 491,424.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,909.73 : 907,918.14 = 356,103.73 : x
  2. Step 2: Convert to fraction form
    657,909.73/907,918.14 = 356,103.73/x
  3. Step 3: Cross multiply
    657,909.73x = 907,918.14 × 356,103.73
  4. Step 4: Simplify right side
    657,909.73x = 323,313,036,188.66
  5. Step 5: Solve for x
    x = 323,313,036,188.66/657,909.73
  6. Step 6: Final answer
    x = 491,424.62

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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.