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Finding the Fourth Proportional to 278,376.21, 417,591.18 and 78,703.11

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Solution

The fourth proportional to 278,376.21, 417,591.18 and 78,703.11 is: 118,062.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,376.21 : 417,591.18 = 78,703.11 : x
  2. Step 2: Convert to fraction form
    278,376.21/417,591.18 = 78,703.11/x
  3. Step 3: Cross multiply
    278,376.21x = 417,591.18 × 78,703.11
  4. Step 4: Simplify right side
    278,376.21x = 32,865,724,574.57
  5. Step 5: Solve for x
    x = 32,865,724,574.57/278,376.21
  6. Step 6: Final answer
    x = 118,062.26

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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.