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Finding the Fourth Proportional to 278,890.30, 418,335.45 and 259,207.30

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Solution

The fourth proportional to 278,890.30, 418,335.45 and 259,207.30 is: 388,810.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,890.30 : 418,335.45 = 259,207.30 : x
  2. Step 2: Convert to fraction form
    278,890.30/418,335.45 = 259,207.30/x
  3. Step 3: Cross multiply
    278,890.30x = 418,335.45 × 259,207.30
  4. Step 4: Simplify right side
    278,890.30x = 108,435,602,488.79
  5. Step 5: Solve for x
    x = 108,435,602,488.79/278,890.30
  6. Step 6: Final answer
    x = 388,810.95

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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.