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Finding the Fourth Proportional to 435,213.72, 600,440.96 and 284,398.20

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Solution

The fourth proportional to 435,213.72, 600,440.96 and 284,398.20 is: 392,368.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,213.72 : 600,440.96 = 284,398.20 : x
  2. Step 2: Convert to fraction form
    435,213.72/600,440.96 = 284,398.20/x
  3. Step 3: Cross multiply
    435,213.72x = 600,440.96 × 284,398.20
  4. Step 4: Simplify right side
    435,213.72x = 170,764,328,230.27
  5. Step 5: Solve for x
    x = 170,764,328,230.27/435,213.72
  6. Step 6: Final answer
    x = 392,368.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.