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Finding the Fourth Proportional to 284,751.39, 392,965.11 and 157,435.17

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Solution

The fourth proportional to 284,751.39, 392,965.11 and 157,435.17 is: 217,265.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,751.39 : 392,965.11 = 157,435.17 : x
  2. Step 2: Convert to fraction form
    284,751.39/392,965.11 = 157,435.17/x
  3. Step 3: Cross multiply
    284,751.39x = 392,965.11 × 157,435.17
  4. Step 4: Simplify right side
    284,751.39x = 61,866,528,896.92
  5. Step 5: Solve for x
    x = 61,866,528,896.92/284,751.39
  6. Step 6: Final answer
    x = 217,265.06

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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.