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Finding the Fourth Proportional to 284,891.88, 393,126.30 and 157,535.58

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Solution

The fourth proportional to 284,891.88, 393,126.30 and 157,535.58 is: 217,385.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,891.88 : 393,126.30 = 157,535.58 : x
  2. Step 2: Convert to fraction form
    284,891.88/393,126.30 = 157,535.58/x
  3. Step 3: Cross multiply
    284,891.88x = 393,126.30 × 157,535.58
  4. Step 4: Simplify right side
    284,891.88x = 61,931,379,683.75
  5. Step 5: Solve for x
    x = 61,931,379,683.75/284,891.88
  6. Step 6: Final answer
    x = 217,385.56

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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.