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Finding the Fourth Proportional to 282,340.71, 389,519.07 and 161,417.04

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Solution

The fourth proportional to 282,340.71, 389,519.07 and 161,417.04 is: 222,691.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,340.71 : 389,519.07 = 161,417.04 : x
  2. Step 2: Convert to fraction form
    282,340.71/389,519.07 = 161,417.04/x
  3. Step 3: Cross multiply
    282,340.71x = 389,519.07 × 161,417.04
  4. Step 4: Simplify right side
    282,340.71x = 62,875,015,302.95
  5. Step 5: Solve for x
    x = 62,875,015,302.95/282,340.71
  6. Step 6: Final answer
    x = 222,691.99

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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.