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Finding the Fourth Proportional to 278,711.80, 418,067.70 and 235,409.20

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Solution

The fourth proportional to 278,711.80, 418,067.70 and 235,409.20 is: 353,113.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,711.80 : 418,067.70 = 235,409.20 : x
  2. Step 2: Convert to fraction form
    278,711.80/418,067.70 = 235,409.20/x
  3. Step 3: Cross multiply
    278,711.80x = 418,067.70 × 235,409.20
  4. Step 4: Simplify right side
    278,711.80x = 98,416,982,802.84
  5. Step 5: Solve for x
    x = 98,416,982,802.84/278,711.80
  6. Step 6: Final answer
    x = 353,113.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.