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Finding the Fourth Proportional to 658,489,834.40, 987,734,751.60 and 413,601,821.60

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Solution

The fourth proportional to 658,489,834.40, 987,734,751.60 and 413,601,821.60 is: 620,402,732.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,489,834.40 : 987,734,751.60 = 413,601,821.60 : x
  2. Step 2: Convert to fraction form
    658,489,834.40/987,734,751.60 = 413,601,821.60/x
  3. Step 3: Cross multiply
    658,489,834.40x = 987,734,751.60 × 413,601,821.60
  4. Step 4: Simplify right side
    658,489,834.40x = 408,528,892,519,383,552
  5. Step 5: Solve for x
    x = 408,528,892,519,383,552/658,489,834.40
  6. Step 6: Final answer
    x = 620,402,732.40

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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.