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Finding the Fourth Proportional to 520,714.60, 781,115.10 and 165,718.60

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Solution

The fourth proportional to 520,714.60, 781,115.10 and 165,718.60 is: 248,591.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,714.60 : 781,115.10 = 165,718.60 : x
  2. Step 2: Convert to fraction form
    520,714.60/781,115.10 = 165,718.60/x
  3. Step 3: Cross multiply
    520,714.60x = 781,115.10 × 165,718.60
  4. Step 4: Simplify right side
    520,714.60x = 129,445,300,810.86
  5. Step 5: Solve for x
    x = 129,445,300,810.86/520,714.60
  6. Step 6: Final answer
    x = 248,591.65

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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.