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Finding the Fourth Proportional to 284,745.54, 392,957.10 and 157,429.38

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Solution

The fourth proportional to 284,745.54, 392,957.10 and 157,429.38 is: 217,257.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,745.54 : 392,957.10 = 157,429.38 : x
  2. Step 2: Convert to fraction form
    284,745.54/392,957.10 = 157,429.38/x
  3. Step 3: Cross multiply
    284,745.54x = 392,957.10 × 157,429.38
  4. Step 4: Simplify right side
    284,745.54x = 61,862,992,619.60
  5. Step 5: Solve for x
    x = 61,862,992,619.60/284,745.54
  6. Step 6: Final answer
    x = 217,257.11

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1.5x scale

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.