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Finding the Fourth Proportional to 392,865, 542,128.18 and 231,683.10

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Solution

The fourth proportional to 392,865, 542,128.18 and 231,683.10 is: 319,707.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,865 : 542,128.18 = 231,683.10 : x
  2. Step 2: Convert to fraction form
    392,865/542,128.18 = 231,683.10/x
  3. Step 3: Cross multiply
    392,865x = 542,128.18 × 231,683.10
  4. Step 4: Simplify right side
    392,865x = 125,601,937,339.76
  5. Step 5: Solve for x
    x = 125,601,937,339.76/392,865
  6. Step 6: Final answer
    x = 319,707.63

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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.