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Finding the Fourth Proportional to 282,131.64, 389,341.64 and 161,275.53

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Solution

The fourth proportional to 282,131.64, 389,341.64 and 161,275.53 is: 222,560.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,131.64 : 389,341.64 = 161,275.53 : x
  2. Step 2: Convert to fraction form
    282,131.64/389,341.64 = 161,275.53/x
  3. Step 3: Cross multiply
    282,131.64x = 389,341.64 × 161,275.53
  4. Step 4: Simplify right side
    282,131.64x = 62,791,278,535.69
  5. Step 5: Solve for x
    x = 62,791,278,535.69/282,131.64
  6. Step 6: Final answer
    x = 222,560.22

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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.