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Finding the Fourth Proportional to 392,757.84, 542,447.28 and 265,212

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Solution

The fourth proportional to 392,757.84, 542,447.28 and 265,212 is: 366,290.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,757.84 : 542,447.28 = 265,212 : x
  2. Step 2: Convert to fraction form
    392,757.84/542,447.28 = 265,212/x
  3. Step 3: Cross multiply
    392,757.84x = 542,447.28 × 265,212
  4. Step 4: Simplify right side
    392,757.84x = 143,863,528,023.36
  5. Step 5: Solve for x
    x = 143,863,528,023.36/392,757.84
  6. Step 6: Final answer
    x = 366,290.66

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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.