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Finding the Fourth Proportional to 409,326.57, 614,055.48 and 172,704.12

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Solution

The fourth proportional to 409,326.57, 614,055.48 and 172,704.12 is: 259,083.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,326.57 : 614,055.48 = 172,704.12 : x
  2. Step 2: Convert to fraction form
    409,326.57/614,055.48 = 172,704.12/x
  3. Step 3: Cross multiply
    409,326.57x = 614,055.48 × 172,704.12
  4. Step 4: Simplify right side
    409,326.57x = 106,049,911,304.58
  5. Step 5: Solve for x
    x = 106,049,911,304.58/409,326.57
  6. Step 6: Final answer
    x = 259,083.87

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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.