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Finding the Fourth Proportional to 284,713.12, 427,064.28 and 85,034.08

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Solution

The fourth proportional to 284,713.12, 427,064.28 and 85,034.08 is: 127,549.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,713.12 : 427,064.28 = 85,034.08 : x
  2. Step 2: Convert to fraction form
    284,713.12/427,064.28 = 85,034.08/x
  3. Step 3: Cross multiply
    284,713.12x = 427,064.28 × 85,034.08
  4. Step 4: Simplify right side
    284,713.12x = 36,315,018,150.66
  5. Step 5: Solve for x
    x = 36,315,018,150.66/284,713.12
  6. Step 6: Final answer
    x = 127,549.51

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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.