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Finding the Fourth Proportional to 313,375.68, 469,023.60 and 285,360.20

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Solution

The fourth proportional to 313,375.68, 469,023.60 and 285,360.20 is: 427,093.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,375.68 : 469,023.60 = 285,360.20 : x
  2. Step 2: Convert to fraction form
    313,375.68/469,023.60 = 285,360.20/x
  3. Step 3: Cross multiply
    313,375.68x = 469,023.60 × 285,360.20
  4. Step 4: Simplify right side
    313,375.68x = 133,840,668,300.72
  5. Step 5: Solve for x
    x = 133,840,668,300.72/313,375.68
  6. Step 6: Final answer
    x = 427,093.35

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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.