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Finding the Fourth Proportional to 284,956.03, 427,489.13 and 85,259.17

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Solution

The fourth proportional to 284,956.03, 427,489.13 and 85,259.17 is: 127,905.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,956.03 : 427,489.13 = 85,259.17 : x
  2. Step 2: Convert to fraction form
    284,956.03/427,489.13 = 85,259.17/x
  3. Step 3: Cross multiply
    284,956.03x = 427,489.13 × 85,259.17
  4. Step 4: Simplify right side
    284,956.03x = 36,447,368,407.82
  5. Step 5: Solve for x
    x = 36,447,368,407.82/284,956.03
  6. Step 6: Final answer
    x = 127,905.24

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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.