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Finding the Fourth Proportional to 338,514.66, 507,023.24 and 138,227.68

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Solution

The fourth proportional to 338,514.66, 507,023.24 and 138,227.68 is: 207,035.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,514.66 : 507,023.24 = 138,227.68 : x
  2. Step 2: Convert to fraction form
    338,514.66/507,023.24 = 138,227.68/x
  3. Step 3: Cross multiply
    338,514.66x = 507,023.24 × 138,227.68
  4. Step 4: Simplify right side
    338,514.66x = 70,084,646,171.28
  5. Step 5: Solve for x
    x = 70,084,646,171.28/338,514.66
  6. Step 6: Final answer
    x = 207,035.78

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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.