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Finding the Fourth Proportional to 283,251.40, 424,877.10 and 257,446.60

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Solution

The fourth proportional to 283,251.40, 424,877.10 and 257,446.60 is: 386,169.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,251.40 : 424,877.10 = 257,446.60 : x
  2. Step 2: Convert to fraction form
    283,251.40/424,877.10 = 257,446.60/x
  3. Step 3: Cross multiply
    283,251.40x = 424,877.10 × 257,446.60
  4. Step 4: Simplify right side
    283,251.40x = 109,383,164,812.86
  5. Step 5: Solve for x
    x = 109,383,164,812.86/283,251.40
  6. Step 6: Final answer
    x = 386,169.90

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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.