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Finding the Fourth Proportional to 218,809.78, 328,083.44 and 100,332.70

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Solution

The fourth proportional to 218,809.78, 328,083.44 and 100,332.70 is: 150,438.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,809.78 : 328,083.44 = 100,332.70 : x
  2. Step 2: Convert to fraction form
    218,809.78/328,083.44 = 100,332.70/x
  3. Step 3: Cross multiply
    218,809.78x = 328,083.44 × 100,332.70
  4. Step 4: Simplify right side
    218,809.78x = 32,917,496,038.62
  5. Step 5: Solve for x
    x = 32,917,496,038.62/218,809.78
  6. Step 6: Final answer
    x = 150,438.87

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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.