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Finding the Fourth Proportional to 278,125.44, 417,220.80 and 100,716.16

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Solution

The fourth proportional to 278,125.44, 417,220.80 and 100,716.16 is: 151,086.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,125.44 : 417,220.80 = 100,716.16 : x
  2. Step 2: Convert to fraction form
    278,125.44/417,220.80 = 100,716.16/x
  3. Step 3: Cross multiply
    278,125.44x = 417,220.80 × 100,716.16
  4. Step 4: Simplify right side
    278,125.44x = 42,020,876,848.13
  5. Step 5: Solve for x
    x = 42,020,876,848.13/278,125.44
  6. Step 6: Final answer
    x = 151,086.06

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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.