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Finding the Fourth Proportional to 392,924.88, 542,301.84 and 231,819.84

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Solution

The fourth proportional to 392,924.88, 542,301.84 and 231,819.84 is: 319,950.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,924.88 : 542,301.84 = 231,819.84 : x
  2. Step 2: Convert to fraction form
    392,924.88/542,301.84 = 231,819.84/x
  3. Step 3: Cross multiply
    392,924.88x = 542,301.84 × 231,819.84
  4. Step 4: Simplify right side
    392,924.88x = 125,716,325,780.51
  5. Step 5: Solve for x
    x = 125,716,325,780.51/392,924.88
  6. Step 6: Final answer
    x = 319,950.03

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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.