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Finding the Fourth Proportional to 338,104.97, 507,405.75 and 272,339.15

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Solution

The fourth proportional to 338,104.97, 507,405.75 and 272,339.15 is: 408,708.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,104.97 : 507,405.75 = 272,339.15 : x
  2. Step 2: Convert to fraction form
    338,104.97/507,405.75 = 272,339.15/x
  3. Step 3: Cross multiply
    338,104.97x = 507,405.75 × 272,339.15
  4. Step 4: Simplify right side
    338,104.97x = 138,186,450,660.11
  5. Step 5: Solve for x
    x = 138,186,450,660.11/338,104.97
  6. Step 6: Final answer
    x = 408,708.72

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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.