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Finding the Fourth Proportional to 392,864.07, 542,138.04 and 240,158.01

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Solution

The fourth proportional to 392,864.07, 542,138.04 and 240,158.01 is: 331,409.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,864.07 : 542,138.04 = 240,158.01 : x
  2. Step 2: Convert to fraction form
    392,864.07/542,138.04 = 240,158.01/x
  3. Step 3: Cross multiply
    392,864.07x = 542,138.04 × 240,158.01
  4. Step 4: Simplify right side
    392,864.07x = 130,198,792,831.70
  5. Step 5: Solve for x
    x = 130,198,792,831.70/392,864.07
  6. Step 6: Final answer
    x = 331,409.27

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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.