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Finding the Fourth Proportional to 216,218.43, 324,328.80 and 141,809.78

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Solution

The fourth proportional to 216,218.43, 324,328.80 and 141,809.78 is: 212,715.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,218.43 : 324,328.80 = 141,809.78 : x
  2. Step 2: Convert to fraction form
    216,218.43/324,328.80 = 141,809.78/x
  3. Step 3: Cross multiply
    216,218.43x = 324,328.80 × 141,809.78
  4. Step 4: Simplify right side
    216,218.43x = 45,992,994,154.02
  5. Step 5: Solve for x
    x = 45,992,994,154.02/216,218.43
  6. Step 6: Final answer
    x = 212,715.42

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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.