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Finding the Fourth Proportional to 484,318.32, 726,293.16 and 221,478

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Solution

The fourth proportional to 484,318.32, 726,293.16 and 221,478 is: 332,132.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,318.32 : 726,293.16 = 221,478 : x
  2. Step 2: Convert to fraction form
    484,318.32/726,293.16 = 221,478/x
  3. Step 3: Cross multiply
    484,318.32x = 726,293.16 × 221,478
  4. Step 4: Simplify right side
    484,318.32x = 160,857,956,490.48
  5. Step 5: Solve for x
    x = 160,857,956,490.48/484,318.32
  6. Step 6: Final answer
    x = 332,132.71

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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.