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Finding the Fourth Proportional to 313,806.95, 470,445.85 and 136,180.12

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Solution

The fourth proportional to 313,806.95, 470,445.85 and 136,180.12 is: 204,155.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,806.95 : 470,445.85 = 136,180.12 : x
  2. Step 2: Convert to fraction form
    313,806.95/470,445.85 = 136,180.12/x
  3. Step 3: Cross multiply
    313,806.95x = 470,445.85 × 136,180.12
  4. Step 4: Simplify right side
    313,806.95x = 64,065,372,306.50
  5. Step 5: Solve for x
    x = 64,065,372,306.50/313,806.95
  6. Step 6: Final answer
    x = 204,155.36

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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.