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Finding the Fourth Proportional to 416,352, 624,545.28 and 120,864

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Solution

The fourth proportional to 416,352, 624,545.28 and 120,864 is: 181,301.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,352 : 624,545.28 = 120,864 : x
  2. Step 2: Convert to fraction form
    416,352/624,545.28 = 120,864/x
  3. Step 3: Cross multiply
    416,352x = 624,545.28 × 120,864
  4. Step 4: Simplify right side
    416,352x = 75,485,040,721.92
  5. Step 5: Solve for x
    x = 75,485,040,721.92/416,352
  6. Step 6: Final answer
    x = 181,301.02

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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.