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Finding the Fourth Proportional to 805,894,843.20, 1,208,842,264.80 and 260,691,489.60

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Solution

The fourth proportional to 805,894,843.20, 1,208,842,264.80 and 260,691,489.60 is: 391,037,234.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,894,843.20 : 1,208,842,264.80 = 260,691,489.60 : x
  2. Step 2: Convert to fraction form
    805,894,843.20/1,208,842,264.80 = 260,691,489.60/x
  3. Step 3: Cross multiply
    805,894,843.20x = 1,208,842,264.80 × 260,691,489.60
  4. Step 4: Simplify right side
    805,894,843.20x = 315,134,890,702,149,632
  5. Step 5: Solve for x
    x = 315,134,890,702,149,632/805,894,843.20
  6. Step 6: Final answer
    x = 391,037,234.40

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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.