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Finding the Fourth Proportional to 363,969,337.80, 545,954,006.70 and 105,193,000.20

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Solution

The fourth proportional to 363,969,337.80, 545,954,006.70 and 105,193,000.20 is: 157,789,500.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,969,337.80 : 545,954,006.70 = 105,193,000.20 : x
  2. Step 2: Convert to fraction form
    363,969,337.80/545,954,006.70 = 105,193,000.20/x
  3. Step 3: Cross multiply
    363,969,337.80x = 545,954,006.70 × 105,193,000.20
  4. Step 4: Simplify right side
    363,969,337.80x = 57,430,539,935,983,904
  5. Step 5: Solve for x
    x = 57,430,539,935,983,904/363,969,337.80
  6. Step 6: Final answer
    x = 157,789,500.30

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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.