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Finding the Fourth Proportional to 285,164.20, 427,746.30 and 283,195.90

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Solution

The fourth proportional to 285,164.20, 427,746.30 and 283,195.90 is: 424,793.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,164.20 : 427,746.30 = 283,195.90 : x
  2. Step 2: Convert to fraction form
    285,164.20/427,746.30 = 283,195.90/x
  3. Step 3: Cross multiply
    285,164.20x = 427,746.30 × 283,195.90
  4. Step 4: Simplify right side
    285,164.20x = 121,135,998,400.17
  5. Step 5: Solve for x
    x = 121,135,998,400.17/285,164.20
  6. Step 6: Final answer
    x = 424,793.85

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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.