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Finding the Fourth Proportional to 278,827.70, 418,240.71 and 79,148.25

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Solution

The fourth proportional to 278,827.70, 418,240.71 and 79,148.25 is: 118,722.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,827.70 : 418,240.71 = 79,148.25 : x
  2. Step 2: Convert to fraction form
    278,827.70/418,240.71 = 79,148.25/x
  3. Step 3: Cross multiply
    278,827.70x = 418,240.71 × 79,148.25
  4. Step 4: Simplify right side
    278,827.70x = 33,103,020,275.26
  5. Step 5: Solve for x
    x = 33,103,020,275.26/278,827.70
  6. Step 6: Final answer
    x = 118,722.14

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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.