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Finding the Fourth Proportional to 431,333.60, 647,000.40 and 150,821.60

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Solution

The fourth proportional to 431,333.60, 647,000.40 and 150,821.60 is: 226,232.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,333.60 : 647,000.40 = 150,821.60 : x
  2. Step 2: Convert to fraction form
    431,333.60/647,000.40 = 150,821.60/x
  3. Step 3: Cross multiply
    431,333.60x = 647,000.40 × 150,821.60
  4. Step 4: Simplify right side
    431,333.60x = 97,581,635,528.64
  5. Step 5: Solve for x
    x = 97,581,635,528.64/431,333.60
  6. Step 6: Final answer
    x = 226,232.40

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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.