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Finding the Fourth Proportional to 431,207.40, 646,811.10 and 281,908.20

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Solution

The fourth proportional to 431,207.40, 646,811.10 and 281,908.20 is: 422,862.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,207.40 : 646,811.10 = 281,908.20 : x
  2. Step 2: Convert to fraction form
    431,207.40/646,811.10 = 281,908.20/x
  3. Step 3: Cross multiply
    431,207.40x = 646,811.10 × 281,908.20
  4. Step 4: Simplify right side
    431,207.40x = 182,341,352,941.02
  5. Step 5: Solve for x
    x = 182,341,352,941.02/431,207.40
  6. Step 6: Final answer
    x = 422,862.30

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Similar ratio
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1.5x scale

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.