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Finding the Fourth Proportional to 322,900.92, 484,351.79 and 154,381.64

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Solution

The fourth proportional to 322,900.92, 484,351.79 and 154,381.64 is: 231,572.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,900.92 : 484,351.79 = 154,381.64 : x
  2. Step 2: Convert to fraction form
    322,900.92/484,351.79 = 154,381.64/x
  3. Step 3: Cross multiply
    322,900.92x = 484,351.79 × 154,381.64
  4. Step 4: Simplify right side
    322,900.92x = 74,775,020,483.47
  5. Step 5: Solve for x
    x = 74,775,020,483.47/322,900.92
  6. Step 6: Final answer
    x = 231,572.65

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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.