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Finding the Fourth Proportional to 285,502.49, 428,254.05 and 85,822.86

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Solution

The fourth proportional to 285,502.49, 428,254.05 and 85,822.86 is: 128,734.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,502.49 : 428,254.05 = 85,822.86 : x
  2. Step 2: Convert to fraction form
    285,502.49/428,254.05 = 85,822.86/x
  3. Step 3: Cross multiply
    285,502.49x = 428,254.05 × 85,822.86
  4. Step 4: Simplify right side
    285,502.49x = 36,753,988,502.40
  5. Step 5: Solve for x
    x = 36,753,988,502.40/285,502.49
  6. Step 6: Final answer
    x = 128,734.39

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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.