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Finding the Fourth Proportional to 284,820.17, 427,440.53 and 135,060.96

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Solution

The fourth proportional to 284,820.17, 427,440.53 and 135,060.96 is: 202,691.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,820.17 : 427,440.53 = 135,060.96 : x
  2. Step 2: Convert to fraction form
    284,820.17/427,440.53 = 135,060.96/x
  3. Step 3: Cross multiply
    284,820.17x = 427,440.53 × 135,060.96
  4. Step 4: Simplify right side
    284,820.17x = 57,730,529,505.55
  5. Step 5: Solve for x
    x = 57,730,529,505.55/284,820.17
  6. Step 6: Final answer
    x = 202,691.16

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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.