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Finding the Fourth Proportional to 313,986.30, 470,833.65 and 136,401.90

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Solution

The fourth proportional to 313,986.30, 470,833.65 and 136,401.90 is: 204,539.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,986.30 : 470,833.65 = 136,401.90 : x
  2. Step 2: Convert to fraction form
    313,986.30/470,833.65 = 136,401.90/x
  3. Step 3: Cross multiply
    313,986.30x = 470,833.65 × 136,401.90
  4. Step 4: Simplify right side
    313,986.30x = 64,222,604,443.94
  5. Step 5: Solve for x
    x = 64,222,604,443.94/313,986.30
  6. Step 6: Final answer
    x = 204,539.51

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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.