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Finding the Fourth Proportional to 488,543,877.90, 732,815,816.85 and 216,446,085.90

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Solution

The fourth proportional to 488,543,877.90, 732,815,816.85 and 216,446,085.90 is: 324,669,128.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,543,877.90 : 732,815,816.85 = 216,446,085.90 : x
  2. Step 2: Convert to fraction form
    488,543,877.90/732,815,816.85 = 216,446,085.90/x
  3. Step 3: Cross multiply
    488,543,877.90x = 732,815,816.85 × 216,446,085.90
  4. Step 4: Simplify right side
    488,543,877.90x = 158,615,115,242,793,792
  5. Step 5: Solve for x
    x = 158,615,115,242,793,792/488,543,877.90
  6. Step 6: Final answer
    x = 324,669,128.85

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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.