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Finding the Fourth Proportional to 486,253,005.60, 728,760,193.20 and 198,713,805.60

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Solution

The fourth proportional to 486,253,005.60, 728,760,193.20 and 198,713,805.60 is: 297,817,616.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,253,005.60 : 728,760,193.20 = 198,713,805.60 : x
  2. Step 2: Convert to fraction form
    486,253,005.60/728,760,193.20 = 198,713,805.60/x
  3. Step 3: Cross multiply
    486,253,005.60x = 728,760,193.20 × 198,713,805.60
  4. Step 4: Simplify right side
    486,253,005.60x = 144,814,711,360,563,232
  5. Step 5: Solve for x
    x = 144,814,711,360,563,232/486,253,005.60
  6. Step 6: Final answer
    x = 297,817,616.95

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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.