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Finding the Fourth Proportional to 278,372.95, 417,555.78 and 68,012.71

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Solution

The fourth proportional to 278,372.95, 417,555.78 and 68,012.71 is: 102,018.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,372.95 : 417,555.78 = 68,012.71 : x
  2. Step 2: Convert to fraction form
    278,372.95/417,555.78 = 68,012.71/x
  3. Step 3: Cross multiply
    278,372.95x = 417,555.78 × 68,012.71
  4. Step 4: Simplify right side
    278,372.95x = 28,399,098,875.03
  5. Step 5: Solve for x
    x = 28,399,098,875.03/278,372.95
  6. Step 6: Final answer
    x = 102,018.17

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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.