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Finding the Fourth Proportional to 278,351.32, 417,541.02 and 78,686.04

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Solution

The fourth proportional to 278,351.32, 417,541.02 and 78,686.04 is: 118,033.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,351.32 : 417,541.02 = 78,686.04 : x
  2. Step 2: Convert to fraction form
    278,351.32/417,541.02 = 78,686.04/x
  3. Step 3: Cross multiply
    278,351.32x = 417,541.02 × 78,686.04
  4. Step 4: Simplify right side
    278,351.32x = 32,854,649,401.36
  5. Step 5: Solve for x
    x = 32,854,649,401.36/278,351.32
  6. Step 6: Final answer
    x = 118,033.03

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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.