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Finding the Fourth Proportional to 431,685.80, 647,528.70 and 398,508.20

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Solution

The fourth proportional to 431,685.80, 647,528.70 and 398,508.20 is: 597,762.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,685.80 : 647,528.70 = 398,508.20 : x
  2. Step 2: Convert to fraction form
    431,685.80/647,528.70 = 398,508.20/x
  3. Step 3: Cross multiply
    431,685.80x = 647,528.70 × 398,508.20
  4. Step 4: Simplify right side
    431,685.80x = 258,045,496,685.34
  5. Step 5: Solve for x
    x = 258,045,496,685.34/431,685.80
  6. Step 6: Final answer
    x = 597,762.30

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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.