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Finding the Fourth Proportional to 313,642.12, 470,462.46 and 136,126.12

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Solution

The fourth proportional to 313,642.12, 470,462.46 and 136,126.12 is: 204,188.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,642.12 : 470,462.46 = 136,126.12 : x
  2. Step 2: Convert to fraction form
    313,642.12/470,462.46 = 136,126.12/x
  3. Step 3: Cross multiply
    313,642.12x = 470,462.46 × 136,126.12
  4. Step 4: Simplify right side
    313,642.12x = 64,042,229,285.46
  5. Step 5: Solve for x
    x = 64,042,229,285.46/313,642.12
  6. Step 6: Final answer
    x = 204,188.87

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1.5x scale

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.