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Finding the Fourth Proportional to 392,764.82, 542,077.01 and 231,637.59

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Solution

The fourth proportional to 392,764.82, 542,077.01 and 231,637.59 is: 319,696.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,764.82 : 542,077.01 = 231,637.59 : x
  2. Step 2: Convert to fraction form
    392,764.82/542,077.01 = 231,637.59/x
  3. Step 3: Cross multiply
    392,764.82x = 542,077.01 × 231,637.59
  4. Step 4: Simplify right side
    392,764.82x = 125,565,411,901.26
  5. Step 5: Solve for x
    x = 125,565,411,901.26/392,764.82
  6. Step 6: Final answer
    x = 319,696.18

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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.