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Finding the Fourth Proportional to 306,920.82, 460,380.24 and 138,243.72

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Solution

The fourth proportional to 306,920.82, 460,380.24 and 138,243.72 is: 207,365.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,920.82 : 460,380.24 = 138,243.72 : x
  2. Step 2: Convert to fraction form
    306,920.82/460,380.24 = 138,243.72/x
  3. Step 3: Cross multiply
    306,920.82x = 460,380.24 × 138,243.72
  4. Step 4: Simplify right side
    306,920.82x = 63,644,676,992.09
  5. Step 5: Solve for x
    x = 63,644,676,992.09/306,920.82
  6. Step 6: Final answer
    x = 207,365.13

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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.