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Finding the Fourth Proportional to 392,864, 542,126.80 and 231,682.10

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Solution

The fourth proportional to 392,864, 542,126.80 and 231,682.10 is: 319,706.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,864 : 542,126.80 = 231,682.10 : x
  2. Step 2: Convert to fraction form
    392,864/542,126.80 = 231,682.10/x
  3. Step 3: Cross multiply
    392,864x = 542,126.80 × 231,682.10
  4. Step 4: Simplify right side
    392,864x = 125,601,075,490.28
  5. Step 5: Solve for x
    x = 125,601,075,490.28/392,864
  6. Step 6: Final answer
    x = 319,706.25

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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.