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Finding the Fourth Proportional to 313,147.60, 469,721.40 and 136,000.60

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Solution

The fourth proportional to 313,147.60, 469,721.40 and 136,000.60 is: 204,000.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,147.60 : 469,721.40 = 136,000.60 : x
  2. Step 2: Convert to fraction form
    313,147.60/469,721.40 = 136,000.60/x
  3. Step 3: Cross multiply
    313,147.60x = 469,721.40 × 136,000.60
  4. Step 4: Simplify right side
    313,147.60x = 63,882,392,232.84
  5. Step 5: Solve for x
    x = 63,882,392,232.84/313,147.60
  6. Step 6: Final answer
    x = 204,000.90

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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.