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Finding the Fourth Proportional to 391,409.20, 587,113.80 and 256,106.80

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Solution

The fourth proportional to 391,409.20, 587,113.80 and 256,106.80 is: 384,160.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,409.20 : 587,113.80 = 256,106.80 : x
  2. Step 2: Convert to fraction form
    391,409.20/587,113.80 = 256,106.80/x
  3. Step 3: Cross multiply
    391,409.20x = 587,113.80 × 256,106.80
  4. Step 4: Simplify right side
    391,409.20x = 150,363,836,553.84
  5. Step 5: Solve for x
    x = 150,363,836,553.84/391,409.20
  6. Step 6: Final answer
    x = 384,160.20

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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.