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Finding the Fourth Proportional to 282,143.96, 389,343.18 and 154,809.56

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Solution

The fourth proportional to 282,143.96, 389,343.18 and 154,809.56 is: 213,628.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,143.96 : 389,343.18 = 154,809.56 : x
  2. Step 2: Convert to fraction form
    282,143.96/389,343.18 = 154,809.56/x
  3. Step 3: Cross multiply
    282,143.96x = 389,343.18 × 154,809.56
  4. Step 4: Simplify right side
    282,143.96x = 60,274,046,384.80
  5. Step 5: Solve for x
    x = 60,274,046,384.80/282,143.96
  6. Step 6: Final answer
    x = 213,628.70

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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.