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Finding the Fourth Proportional to 540,853.73, 811,413.44 and 185,872.85

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Solution

The fourth proportional to 540,853.73, 811,413.44 and 185,872.85 is: 278,854.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,853.73 : 811,413.44 = 185,872.85 : x
  2. Step 2: Convert to fraction form
    540,853.73/811,413.44 = 185,872.85/x
  3. Step 3: Cross multiply
    540,853.73x = 811,413.44 × 185,872.85
  4. Step 4: Simplify right side
    540,853.73x = 150,819,723,634.67
  5. Step 5: Solve for x
    x = 150,819,723,634.67/540,853.73
  6. Step 6: Final answer
    x = 278,854.92

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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.