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Finding the Fourth Proportional to 312,490.61, 468,757.98 and 154,676.69

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Solution

The fourth proportional to 312,490.61, 468,757.98 and 154,676.69 is: 232,025.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,490.61 : 468,757.98 = 154,676.69 : x
  2. Step 2: Convert to fraction form
    312,490.61/468,757.98 = 154,676.69/x
  3. Step 3: Cross multiply
    312,490.61x = 468,757.98 × 154,676.69
  4. Step 4: Simplify right side
    312,490.61x = 72,505,930,413.70
  5. Step 5: Solve for x
    x = 72,505,930,413.70/312,490.61
  6. Step 6: Final answer
    x = 232,025.95

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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.