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Finding the Fourth Proportional to 408,064,793.28, 611,734,782.24 and 159,012,386.88

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Solution

The fourth proportional to 408,064,793.28, 611,734,782.24 and 159,012,386.88 is: 238,377,359.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,064,793.28 : 611,734,782.24 = 159,012,386.88 : x
  2. Step 2: Convert to fraction form
    408,064,793.28/611,734,782.24 = 159,012,386.88/x
  3. Step 3: Cross multiply
    408,064,793.28x = 611,734,782.24 × 159,012,386.88
  4. Step 4: Simplify right side
    408,064,793.28x = 97,273,407,861,499,424
  5. Step 5: Solve for x
    x = 97,273,407,861,499,424/408,064,793.28
  6. Step 6: Final answer
    x = 238,377,359.34

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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.