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Finding the Fourth Proportional to 284,024.53, 391,955.12 and 156,703.87

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Solution

The fourth proportional to 284,024.53, 391,955.12 and 156,703.87 is: 216,252.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,024.53 : 391,955.12 = 156,703.87 : x
  2. Step 2: Convert to fraction form
    284,024.53/391,955.12 = 156,703.87/x
  3. Step 3: Cross multiply
    284,024.53x = 391,955.12 × 156,703.87
  4. Step 4: Simplify right side
    284,024.53x = 61,420,884,170.31
  5. Step 5: Solve for x
    x = 61,420,884,170.31/284,024.53
  6. Step 6: Final answer
    x = 216,252.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.