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Finding the Fourth Proportional to 284,523.12, 426,806.55 and 84,827.88

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Solution

The fourth proportional to 284,523.12, 426,806.55 and 84,827.88 is: 127,248.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,523.12 : 426,806.55 = 84,827.88 : x
  2. Step 2: Convert to fraction form
    284,523.12/426,806.55 = 84,827.88/x
  3. Step 3: Cross multiply
    284,523.12x = 426,806.55 × 84,827.88
  4. Step 4: Simplify right side
    284,523.12x = 36,205,094,806.61
  5. Step 5: Solve for x
    x = 36,205,094,806.61/284,523.12
  6. Step 6: Final answer
    x = 127,248.34

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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.