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Finding the Fourth Proportional to 278,094.56, 417,120.08 and 78,406.88

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Solution

The fourth proportional to 278,094.56, 417,120.08 and 78,406.88 is: 117,604.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,094.56 : 417,120.08 = 78,406.88 : x
  2. Step 2: Convert to fraction form
    278,094.56/417,120.08 = 78,406.88/x
  3. Step 3: Cross multiply
    278,094.56x = 417,120.08 × 78,406.88
  4. Step 4: Simplify right side
    278,094.56x = 32,705,084,058.15
  5. Step 5: Solve for x
    x = 32,705,084,058.15/278,094.56
  6. Step 6: Final answer
    x = 117,604.18

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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.