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Finding the Fourth Proportional to 659,735,445.60, 988,752,862.80 and 400,675,672.80

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Solution

The fourth proportional to 659,735,445.60, 988,752,862.80 and 400,675,672.80 is: 600,497,094.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,735,445.60 : 988,752,862.80 = 400,675,672.80 : x
  2. Step 2: Convert to fraction form
    659,735,445.60/988,752,862.80 = 400,675,672.80/x
  3. Step 3: Cross multiply
    659,735,445.60x = 988,752,862.80 × 400,675,672.80
  4. Step 4: Simplify right side
    659,735,445.60x = 396,169,218,535,316,096
  5. Step 5: Solve for x
    x = 396,169,218,535,316,096/659,735,445.60
  6. Step 6: Final answer
    x = 600,497,094.98

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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.