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Finding the Fourth Proportional to 279,902.86, 386,047.46 and 193,894.30

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Solution

The fourth proportional to 279,902.86, 386,047.46 and 193,894.30 is: 267,422.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,902.86 : 386,047.46 = 193,894.30 : x
  2. Step 2: Convert to fraction form
    279,902.86/386,047.46 = 193,894.30/x
  3. Step 3: Cross multiply
    279,902.86x = 386,047.46 × 193,894.30
  4. Step 4: Simplify right side
    279,902.86x = 74,852,402,023.48
  5. Step 5: Solve for x
    x = 74,852,402,023.48/279,902.86
  6. Step 6: Final answer
    x = 267,422.78

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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.