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Finding the Fourth Proportional to 498,138.10, 747,207.15 and 165,714.10

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Solution

The fourth proportional to 498,138.10, 747,207.15 and 165,714.10 is: 248,571.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,138.10 : 747,207.15 = 165,714.10 : x
  2. Step 2: Convert to fraction form
    498,138.10/747,207.15 = 165,714.10/x
  3. Step 3: Cross multiply
    498,138.10x = 747,207.15 × 165,714.10
  4. Step 4: Simplify right side
    498,138.10x = 123,822,760,375.82
  5. Step 5: Solve for x
    x = 123,822,760,375.82/498,138.10
  6. Step 6: Final answer
    x = 248,571.15

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Similar ratio
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1.5x scale

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.