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Finding the Fourth Proportional to 657,890.96, 907,863.84 and 413,007.39

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Solution

The fourth proportional to 657,890.96, 907,863.84 and 413,007.39 is: 569,934.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,890.96 : 907,863.84 = 413,007.39 : x
  2. Step 2: Convert to fraction form
    657,890.96/907,863.84 = 413,007.39/x
  3. Step 3: Cross multiply
    657,890.96x = 907,863.84 × 413,007.39
  4. Step 4: Simplify right side
    657,890.96x = 374,954,475,033.78
  5. Step 5: Solve for x
    x = 374,954,475,033.78/657,890.96
  6. Step 6: Final answer
    x = 569,934.08

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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.