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Finding the Fourth Proportional to 282,577.79, 389,956.20 and 161,718.50

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Solution

The fourth proportional to 282,577.79, 389,956.20 and 161,718.50 is: 223,170.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,577.79 : 389,956.20 = 161,718.50 : x
  2. Step 2: Convert to fraction form
    282,577.79/389,956.20 = 161,718.50/x
  3. Step 3: Cross multiply
    282,577.79x = 389,956.20 × 161,718.50
  4. Step 4: Simplify right side
    282,577.79x = 63,063,131,729.70
  5. Step 5: Solve for x
    x = 63,063,131,729.70/282,577.79
  6. Step 6: Final answer
    x = 223,170.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.