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Finding the Fourth Proportional to 282,234.78, 423,308.43 and 82,508.22

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Solution

The fourth proportional to 282,234.78, 423,308.43 and 82,508.22 is: 123,749.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,234.78 : 423,308.43 = 82,508.22 : x
  2. Step 2: Convert to fraction form
    282,234.78/423,308.43 = 82,508.22/x
  3. Step 3: Cross multiply
    282,234.78x = 423,308.43 × 82,508.22
  4. Step 4: Simplify right side
    282,234.78x = 34,926,425,070.29
  5. Step 5: Solve for x
    x = 34,926,425,070.29/282,234.78
  6. Step 6: Final answer
    x = 123,749.54

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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.