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Finding the Fourth Proportional to 284,967.10, 427,536.24 and 85,294

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Solution

The fourth proportional to 284,967.10, 427,536.24 and 85,294 is: 127,966.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,967.10 : 427,536.24 = 85,294 : x
  2. Step 2: Convert to fraction form
    284,967.10/427,536.24 = 85,294/x
  3. Step 3: Cross multiply
    284,967.10x = 427,536.24 × 85,294
  4. Step 4: Simplify right side
    284,967.10x = 36,466,276,054.56
  5. Step 5: Solve for x
    x = 36,466,276,054.56/284,967.10
  6. Step 6: Final answer
    x = 127,966.62

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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.