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Finding the Fourth Proportional to 431,335.20, 647,002.80 and 406,840.80

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Solution

The fourth proportional to 431,335.20, 647,002.80 and 406,840.80 is: 610,261.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,335.20 : 647,002.80 = 406,840.80 : x
  2. Step 2: Convert to fraction form
    431,335.20/647,002.80 = 406,840.80/x
  3. Step 3: Cross multiply
    431,335.20x = 647,002.80 × 406,840.80
  4. Step 4: Simplify right side
    431,335.20x = 263,227,136,754.24
  5. Step 5: Solve for x
    x = 263,227,136,754.24/431,335.20
  6. Step 6: Final answer
    x = 610,261.20

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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.