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Finding the Fourth Proportional to 338,512.65, 507,020.24 and 138,225.68

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Solution

The fourth proportional to 338,512.65, 507,020.24 and 138,225.68 is: 207,032.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,512.65 : 507,020.24 = 138,225.68 : x
  2. Step 2: Convert to fraction form
    338,512.65/507,020.24 = 138,225.68/x
  3. Step 3: Cross multiply
    338,512.65x = 507,020.24 × 138,225.68
  4. Step 4: Simplify right side
    338,512.65x = 70,083,214,221.53
  5. Step 5: Solve for x
    x = 70,083,214,221.53/338,512.65
  6. Step 6: Final answer
    x = 207,032.78

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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.