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Finding the Fourth Proportional to 284,719.12, 427,073.28 and 85,040.08

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Solution

The fourth proportional to 284,719.12, 427,073.28 and 85,040.08 is: 127,558.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,719.12 : 427,073.28 = 85,040.08 : x
  2. Step 2: Convert to fraction form
    284,719.12/427,073.28 = 85,040.08/x
  3. Step 3: Cross multiply
    284,719.12x = 427,073.28 × 85,040.08
  4. Step 4: Simplify right side
    284,719.12x = 36,318,345,897.06
  5. Step 5: Solve for x
    x = 36,318,345,897.06/284,719.12
  6. Step 6: Final answer
    x = 127,558.51

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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.