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Finding the Fourth Proportional to 431,347.20, 647,020.80 and 413,145.60

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Solution

The fourth proportional to 431,347.20, 647,020.80 and 413,145.60 is: 619,718.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,347.20 : 647,020.80 = 413,145.60 : x
  2. Step 2: Convert to fraction form
    431,347.20/647,020.80 = 413,145.60/x
  3. Step 3: Cross multiply
    431,347.20x = 647,020.80 × 413,145.60
  4. Step 4: Simplify right side
    431,347.20x = 267,313,796,628.48
  5. Step 5: Solve for x
    x = 267,313,796,628.48/431,347.20
  6. Step 6: Final answer
    x = 619,718.40

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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.