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Finding the Fourth Proportional to 284,699.80, 392,885.58 and 157,375.36

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Solution

The fourth proportional to 284,699.80, 392,885.58 and 157,375.36 is: 217,177.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,699.80 : 392,885.58 = 157,375.36 : x
  2. Step 2: Convert to fraction form
    284,699.80/392,885.58 = 157,375.36/x
  3. Step 3: Cross multiply
    284,699.80x = 392,885.58 × 157,375.36
  4. Step 4: Simplify right side
    284,699.80x = 61,830,509,591.31
  5. Step 5: Solve for x
    x = 61,830,509,591.31/284,699.80
  6. Step 6: Final answer
    x = 217,177.92

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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.