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Finding the Fourth Proportional to 278,378.71, 417,594.93 and 78,705.61

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Solution

The fourth proportional to 278,378.71, 417,594.93 and 78,705.61 is: 118,066.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,378.71 : 417,594.93 = 78,705.61 : x
  2. Step 2: Convert to fraction form
    278,378.71/417,594.93 = 78,705.61/x
  3. Step 3: Cross multiply
    278,378.71x = 417,594.93 × 78,705.61
  4. Step 4: Simplify right side
    278,378.71x = 32,867,063,698.56
  5. Step 5: Solve for x
    x = 32,867,063,698.56/278,378.71
  6. Step 6: Final answer
    x = 118,066.01

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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.