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Finding the Fourth Proportional to 313,991.40, 471,096.45 and 136,625.70

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Solution

The fourth proportional to 313,991.40, 471,096.45 and 136,625.70 is: 204,986.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,991.40 : 471,096.45 = 136,625.70 : x
  2. Step 2: Convert to fraction form
    313,991.40/471,096.45 = 136,625.70/x
  3. Step 3: Cross multiply
    313,991.40x = 471,096.45 × 136,625.70
  4. Step 4: Simplify right side
    313,991.40x = 64,363,882,248.77
  5. Step 5: Solve for x
    x = 64,363,882,248.77/313,991.40
  6. Step 6: Final answer
    x = 204,986.13

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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.