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Finding the Fourth Proportional to 278,712.30, 418,068.45 and 235,409.70

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Solution

The fourth proportional to 278,712.30, 418,068.45 and 235,409.70 is: 353,114.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,712.30 : 418,068.45 = 235,409.70 : x
  2. Step 2: Convert to fraction form
    278,712.30/418,068.45 = 235,409.70/x
  3. Step 3: Cross multiply
    278,712.30x = 418,068.45 × 235,409.70
  4. Step 4: Simplify right side
    278,712.30x = 98,417,368,393.97
  5. Step 5: Solve for x
    x = 98,417,368,393.97/278,712.30
  6. Step 6: Final answer
    x = 353,114.55

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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.