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Finding the Fourth Proportional to 278,334.06, 417,528.42 and 78,655.98

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Solution

The fourth proportional to 278,334.06, 417,528.42 and 78,655.98 is: 117,991.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,334.06 : 417,528.42 = 78,655.98 : x
  2. Step 2: Convert to fraction form
    278,334.06/417,528.42 = 78,655.98/x
  3. Step 3: Cross multiply
    278,334.06x = 417,528.42 × 78,655.98
  4. Step 4: Simplify right side
    278,334.06x = 32,841,107,052.95
  5. Step 5: Solve for x
    x = 32,841,107,052.95/278,334.06
  6. Step 6: Final answer
    x = 117,991.69

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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.