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Finding the Fourth Proportional to 520,093.10, 780,139.65 and 431,446.70

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Solution

The fourth proportional to 520,093.10, 780,139.65 and 431,446.70 is: 647,170.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,093.10 : 780,139.65 = 431,446.70 : x
  2. Step 2: Convert to fraction form
    520,093.10/780,139.65 = 431,446.70/x
  3. Step 3: Cross multiply
    520,093.10x = 780,139.65 × 431,446.70
  4. Step 4: Simplify right side
    520,093.10x = 336,588,677,531.66
  5. Step 5: Solve for x
    x = 336,588,677,531.66/520,093.10
  6. Step 6: Final answer
    x = 647,170.05

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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.