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Finding the Fourth Proportional to 930,897, 1,284,654.87 and 517,472.60

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Solution

The fourth proportional to 930,897, 1,284,654.87 and 517,472.60 is: 714,121.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,897 : 1,284,654.87 = 517,472.60 : x
  2. Step 2: Convert to fraction form
    930,897/1,284,654.87 = 517,472.60/x
  3. Step 3: Cross multiply
    930,897x = 1,284,654.87 × 517,472.60
  4. Step 4: Simplify right side
    930,897x = 664,773,689,258.29
  5. Step 5: Solve for x
    x = 664,773,689,258.29/930,897
  6. Step 6: Final answer
    x = 714,121.64

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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.