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Finding the Fourth Proportional to 492,073,805.80, 738,119,456.70 and 147,031,690.60

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Solution

The fourth proportional to 492,073,805.80, 738,119,456.70 and 147,031,690.60 is: 220,550,149.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,073,805.80 : 738,119,456.70 = 147,031,690.60 : x
  2. Step 2: Convert to fraction form
    492,073,805.80/738,119,456.70 = 147,031,690.60/x
  3. Step 3: Cross multiply
    492,073,805.80x = 738,119,456.70 × 147,031,690.60
  4. Step 4: Simplify right side
    492,073,805.80x = 108,526,951,583,354,496
  5. Step 5: Solve for x
    x = 108,526,951,583,354,496/492,073,805.80
  6. Step 6: Final answer
    x = 220,550,149.80

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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.