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Finding the Fourth Proportional to 289,666,927.20, 434,500,390.80 and 252,253,480.80

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Solution

The fourth proportional to 289,666,927.20, 434,500,390.80 and 252,253,480.80 is: 378,380,221.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,666,927.20 : 434,500,390.80 = 252,253,480.80 : x
  2. Step 2: Convert to fraction form
    289,666,927.20/434,500,390.80 = 252,253,480.80/x
  3. Step 3: Cross multiply
    289,666,927.20x = 434,500,390.80 × 252,253,480.80
  4. Step 4: Simplify right side
    289,666,927.20x = 109,604,235,988,260,304
  5. Step 5: Solve for x
    x = 109,604,235,988,260,304/289,666,927.20
  6. Step 6: Final answer
    x = 378,380,221.20

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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.