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Finding the Fourth Proportional to 313,937.85, 470,896.20 and 136,444.88

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Solution

The fourth proportional to 313,937.85, 470,896.20 and 136,444.88 is: 204,662.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,937.85 : 470,896.20 = 136,444.88 : x
  2. Step 2: Convert to fraction form
    313,937.85/470,896.20 = 136,444.88/x
  3. Step 3: Cross multiply
    313,937.85x = 470,896.20 × 136,444.88
  4. Step 4: Simplify right side
    313,937.85x = 64,251,376,678.70
  5. Step 5: Solve for x
    x = 64,251,376,678.70/313,937.85
  6. Step 6: Final answer
    x = 204,662.73

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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.