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Finding the Fourth Proportional to 282,039.73, 423,099.15 and 82,374.91

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Solution

The fourth proportional to 282,039.73, 423,099.15 and 82,374.91 is: 123,573.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,039.73 : 423,099.15 = 82,374.91 : x
  2. Step 2: Convert to fraction form
    282,039.73/423,099.15 = 82,374.91/x
  3. Step 3: Cross multiply
    282,039.73x = 423,099.15 × 82,374.91
  4. Step 4: Simplify right side
    282,039.73x = 34,852,754,402.33
  5. Step 5: Solve for x
    x = 34,852,754,402.33/282,039.73
  6. Step 6: Final answer
    x = 123,573.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.