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Finding the Fourth Proportional to 391,521.80, 587,282.70 and 315,414.20

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Solution

The fourth proportional to 391,521.80, 587,282.70 and 315,414.20 is: 473,121.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,521.80 : 587,282.70 = 315,414.20 : x
  2. Step 2: Convert to fraction form
    391,521.80/587,282.70 = 315,414.20/x
  3. Step 3: Cross multiply
    391,521.80x = 587,282.70 × 315,414.20
  4. Step 4: Simplify right side
    391,521.80x = 185,237,302,994.34
  5. Step 5: Solve for x
    x = 185,237,302,994.34/391,521.80
  6. Step 6: Final answer
    x = 473,121.30

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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.