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Finding the Fourth Proportional to 431,210.20, 646,815.30 and 413,008.60

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Solution

The fourth proportional to 431,210.20, 646,815.30 and 413,008.60 is: 619,512.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,210.20 : 646,815.30 = 413,008.60 : x
  2. Step 2: Convert to fraction form
    431,210.20/646,815.30 = 413,008.60/x
  3. Step 3: Cross multiply
    431,210.20x = 646,815.30 × 413,008.60
  4. Step 4: Simplify right side
    431,210.20x = 267,140,281,511.58
  5. Step 5: Solve for x
    x = 267,140,281,511.58/431,210.20
  6. Step 6: Final answer
    x = 619,512.90

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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.