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Finding the Fourth Proportional to 282,491.26, 389,742.90 and 159,966.88

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Solution

The fourth proportional to 282,491.26, 389,742.90 and 159,966.88 is: 220,700.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,491.26 : 389,742.90 = 159,966.88 : x
  2. Step 2: Convert to fraction form
    282,491.26/389,742.90 = 159,966.88/x
  3. Step 3: Cross multiply
    282,491.26x = 389,742.90 × 159,966.88
  4. Step 4: Simplify right side
    282,491.26x = 62,345,955,715.15
  5. Step 5: Solve for x
    x = 62,345,955,715.15/282,491.26
  6. Step 6: Final answer
    x = 220,700.48

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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.