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Finding the Fourth Proportional to 431,687.80, 647,531.70 and 392,980.60

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Solution

The fourth proportional to 431,687.80, 647,531.70 and 392,980.60 is: 589,470.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,687.80 : 647,531.70 = 392,980.60 : x
  2. Step 2: Convert to fraction form
    431,687.80/647,531.70 = 392,980.60/x
  3. Step 3: Cross multiply
    431,687.80x = 647,531.70 × 392,980.60
  4. Step 4: Simplify right side
    431,687.80x = 254,467,395,985.02
  5. Step 5: Solve for x
    x = 254,467,395,985.02/431,687.80
  6. Step 6: Final answer
    x = 589,470.90

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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.