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Finding the Fourth Proportional to 398,668,833.60, 597,885,285.60 and 156,192,187.20

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Solution

The fourth proportional to 398,668,833.60, 597,885,285.60 and 156,192,187.20 is: 234,242,064.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,668,833.60 : 597,885,285.60 = 156,192,187.20 : x
  2. Step 2: Convert to fraction form
    398,668,833.60/597,885,285.60 = 156,192,187.20/x
  3. Step 3: Cross multiply
    398,668,833.60x = 597,885,285.60 × 156,192,187.20
  4. Step 4: Simplify right side
    398,668,833.60x = 93,385,010,452,560,656
  5. Step 5: Solve for x
    x = 93,385,010,452,560,656/398,668,833.60
  6. Step 6: Final answer
    x = 234,242,064.04

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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.