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Finding the Fourth Proportional to 284,735.31, 392,942.93 and 157,419.11

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Solution

The fourth proportional to 284,735.31, 392,942.93 and 157,419.11 is: 217,242.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,735.31 : 392,942.93 = 157,419.11 : x
  2. Step 2: Convert to fraction form
    284,735.31/392,942.93 = 157,419.11/x
  3. Step 3: Cross multiply
    284,735.31x = 392,942.93 × 157,419.11
  4. Step 4: Simplify right side
    284,735.31x = 61,856,726,321.39
  5. Step 5: Solve for x
    x = 61,856,726,321.39/284,735.31
  6. Step 6: Final answer
    x = 217,242.91

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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.