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Finding the Fourth Proportional to 278,373.95, 417,557.28 and 68,013.71

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Solution

The fourth proportional to 278,373.95, 417,557.28 and 68,013.71 is: 102,019.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,373.95 : 417,557.28 = 68,013.71 : x
  2. Step 2: Convert to fraction form
    278,373.95/417,557.28 = 68,013.71/x
  3. Step 3: Cross multiply
    278,373.95x = 417,557.28 × 68,013.71
  4. Step 4: Simplify right side
    278,373.95x = 28,399,619,750.31
  5. Step 5: Solve for x
    x = 28,399,619,750.31/278,373.95
  6. Step 6: Final answer
    x = 102,019.67

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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.