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Finding the Fourth Proportional to 282,338.88, 389,658.72 and 161,491.20

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Solution

The fourth proportional to 282,338.88, 389,658.72 and 161,491.20 is: 222,875.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,338.88 : 389,658.72 = 161,491.20 : x
  2. Step 2: Convert to fraction form
    282,338.88/389,658.72 = 161,491.20/x
  3. Step 3: Cross multiply
    282,338.88x = 389,658.72 × 161,491.20
  4. Step 4: Simplify right side
    282,338.88x = 62,926,454,283.26
  5. Step 5: Solve for x
    x = 62,926,454,283.26/282,338.88
  6. Step 6: Final answer
    x = 222,875.62

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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.