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Finding the Fourth Proportional to 431,877.20, 647,534.20 and 387,640.40

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Solution

The fourth proportional to 431,877.20, 647,534.20 and 387,640.40 is: 581,207.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,877.20 : 647,534.20 = 387,640.40 : x
  2. Step 2: Convert to fraction form
    431,877.20/647,534.20 = 387,640.40/x
  3. Step 3: Cross multiply
    431,877.20x = 647,534.20 × 387,640.40
  4. Step 4: Simplify right side
    431,877.20x = 251,010,416,301.68
  5. Step 5: Solve for x
    x = 251,010,416,301.68/431,877.20
  6. Step 6: Final answer
    x = 581,207.84

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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.