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Finding the Fourth Proportional to 520,096.10, 780,144.15 and 431,449.70

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Solution

The fourth proportional to 520,096.10, 780,144.15 and 431,449.70 is: 647,174.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,096.10 : 780,144.15 = 431,449.70 : x
  2. Step 2: Convert to fraction form
    520,096.10/780,144.15 = 431,449.70/x
  3. Step 3: Cross multiply
    520,096.10x = 780,144.15 × 431,449.70
  4. Step 4: Simplify right side
    520,096.10x = 336,592,959,474.26
  5. Step 5: Solve for x
    x = 336,592,959,474.26/520,096.10
  6. Step 6: Final answer
    x = 647,174.55

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Double scale
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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.