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Finding the Fourth Proportional to 289,666,723.20, 434,500,084.80 and 252,253,276.80

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Solution

The fourth proportional to 289,666,723.20, 434,500,084.80 and 252,253,276.80 is: 378,379,915.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,666,723.20 : 434,500,084.80 = 252,253,276.80 : x
  2. Step 2: Convert to fraction form
    289,666,723.20/434,500,084.80 = 252,253,276.80/x
  3. Step 3: Cross multiply
    289,666,723.20x = 434,500,084.80 × 252,253,276.80
  4. Step 4: Simplify right side
    289,666,723.20x = 109,604,070,160,677,888
  5. Step 5: Solve for x
    x = 109,604,070,160,677,888/289,666,723.20
  6. Step 6: Final answer
    x = 378,379,915.20

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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.