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Finding the Fourth Proportional to 278,270.52, 417,413.07 and 78,612

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Solution

The fourth proportional to 278,270.52, 417,413.07 and 78,612 is: 117,920.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,270.52 : 417,413.07 = 78,612 : x
  2. Step 2: Convert to fraction form
    278,270.52/417,413.07 = 78,612/x
  3. Step 3: Cross multiply
    278,270.52x = 417,413.07 × 78,612
  4. Step 4: Simplify right side
    278,270.52x = 32,813,676,258.84
  5. Step 5: Solve for x
    x = 32,813,676,258.84/278,270.52
  6. Step 6: Final answer
    x = 117,920.06

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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.