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Finding the Fourth Proportional to 278,153.48, 417,121.03 and 98,200.49

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Solution

The fourth proportional to 278,153.48, 417,121.03 and 98,200.49 is: 147,262.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,153.48 : 417,121.03 = 98,200.49 : x
  2. Step 2: Convert to fraction form
    278,153.48/417,121.03 = 98,200.49/x
  3. Step 3: Cross multiply
    278,153.48x = 417,121.03 × 98,200.49
  4. Step 4: Simplify right side
    278,153.48x = 40,961,490,332.61
  5. Step 5: Solve for x
    x = 40,961,490,332.61/278,153.48
  6. Step 6: Final answer
    x = 147,262.19

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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.