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Finding the Fourth Proportional to 278,140.48, 417,227.40 and 78,477.94

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Solution

The fourth proportional to 278,140.48, 417,227.40 and 78,477.94 is: 117,721.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,140.48 : 417,227.40 = 78,477.94 : x
  2. Step 2: Convert to fraction form
    278,140.48/417,227.40 = 78,477.94/x
  3. Step 3: Cross multiply
    278,140.48x = 417,227.40 × 78,477.94
  4. Step 4: Simplify right side
    278,140.48x = 32,743,146,863.56
  5. Step 5: Solve for x
    x = 32,743,146,863.56/278,140.48
  6. Step 6: Final answer
    x = 117,721.62

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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.