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Finding the Fourth Proportional to 278,648.52, 417,972.70 and 68,284.63

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Solution

The fourth proportional to 278,648.52, 417,972.70 and 68,284.63 is: 102,426.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,648.52 : 417,972.70 = 68,284.63 : x
  2. Step 2: Convert to fraction form
    278,648.52/417,972.70 = 68,284.63/x
  3. Step 3: Cross multiply
    278,648.52x = 417,972.70 × 68,284.63
  4. Step 4: Simplify right side
    278,648.52x = 28,541,111,169.60
  5. Step 5: Solve for x
    x = 28,541,111,169.60/278,648.52
  6. Step 6: Final answer
    x = 102,426.93

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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.