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Finding the Fourth Proportional to 657,854.75, 907,861.56 and 403,156.73

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Solution

The fourth proportional to 657,854.75, 907,861.56 and 403,156.73 is: 556,369.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,854.75 : 907,861.56 = 403,156.73 : x
  2. Step 2: Convert to fraction form
    657,854.75/907,861.56 = 403,156.73/x
  3. Step 3: Cross multiply
    657,854.75x = 907,861.56 × 403,156.73
  4. Step 4: Simplify right side
    657,854.75x = 366,010,497,822.30
  5. Step 5: Solve for x
    x = 366,010,497,822.30/657,854.75
  6. Step 6: Final answer
    x = 556,369.77

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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.