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Finding the Fourth Proportional to 409,625.60, 614,524.80 and 172,846.40

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Solution

The fourth proportional to 409,625.60, 614,524.80 and 172,846.40 is: 259,306.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,625.60 : 614,524.80 = 172,846.40 : x
  2. Step 2: Convert to fraction form
    409,625.60/614,524.80 = 172,846.40/x
  3. Step 3: Cross multiply
    409,625.60x = 614,524.80 × 172,846.40
  4. Step 4: Simplify right side
    409,625.60x = 106,218,399,390.72
  5. Step 5: Solve for x
    x = 106,218,399,390.72/409,625.60
  6. Step 6: Final answer
    x = 259,306.06

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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.