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Finding the Fourth Proportional to 313,795.77, 470,429.17 and 136,169.00

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Solution

The fourth proportional to 313,795.77, 470,429.17 and 136,169.00 is: 204,138.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,795.77 : 470,429.17 = 136,169.00 : x
  2. Step 2: Convert to fraction form
    313,795.77/470,429.17 = 136,169.00/x
  3. Step 3: Cross multiply
    313,795.77x = 470,429.17 × 136,169.00
  4. Step 4: Simplify right side
    313,795.77x = 64,057,868,721.27
  5. Step 5: Solve for x
    x = 64,057,868,721.27/313,795.77
  6. Step 6: Final answer
    x = 204,138.72

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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.