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Finding the Fourth Proportional to 283,651.20, 425,476.80 and 261,781.20

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Solution

The fourth proportional to 283,651.20, 425,476.80 and 261,781.20 is: 392,671.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,651.20 : 425,476.80 = 261,781.20 : x
  2. Step 2: Convert to fraction form
    283,651.20/425,476.80 = 261,781.20/x
  3. Step 3: Cross multiply
    283,651.20x = 425,476.80 × 261,781.20
  4. Step 4: Simplify right side
    283,651.20x = 111,381,827,276.16
  5. Step 5: Solve for x
    x = 111,381,827,276.16/283,651.20
  6. Step 6: Final answer
    x = 392,671.80

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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.