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Finding the Fourth Proportional to 520,034.10, 780,051.15 and 431,387.70

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Solution

The fourth proportional to 520,034.10, 780,051.15 and 431,387.70 is: 647,081.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,034.10 : 780,051.15 = 431,387.70 : x
  2. Step 2: Convert to fraction form
    520,034.10/780,051.15 = 431,387.70/x
  3. Step 3: Cross multiply
    520,034.10x = 780,051.15 × 431,387.70
  4. Step 4: Simplify right side
    520,034.10x = 336,504,471,480.86
  5. Step 5: Solve for x
    x = 336,504,471,480.86/520,034.10
  6. Step 6: Final answer
    x = 647,081.55

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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.