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Finding the Fourth Proportional to 392,316.40, 541,391.52 and 231,178.24

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Solution

The fourth proportional to 392,316.40, 541,391.52 and 231,178.24 is: 319,022.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,316.40 : 541,391.52 = 231,178.24 : x
  2. Step 2: Convert to fraction form
    392,316.40/541,391.52 = 231,178.24/x
  3. Step 3: Cross multiply
    392,316.40x = 541,391.52 × 231,178.24
  4. Step 4: Simplify right side
    392,316.40x = 125,157,938,744.53
  5. Step 5: Solve for x
    x = 125,157,938,744.53/392,316.40
  6. Step 6: Final answer
    x = 319,022.96

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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.