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Finding the Fourth Proportional to 313,140.40, 469,510.80 and 206,401.12

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Solution

The fourth proportional to 313,140.40, 469,510.80 and 206,401.12 is: 309,469.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,140.40 : 469,510.80 = 206,401.12 : x
  2. Step 2: Convert to fraction form
    313,140.40/469,510.80 = 206,401.12/x
  3. Step 3: Cross multiply
    313,140.40x = 469,510.80 × 206,401.12
  4. Step 4: Simplify right side
    313,140.40x = 96,907,554,972.10
  5. Step 5: Solve for x
    x = 96,907,554,972.10/313,140.40
  6. Step 6: Final answer
    x = 309,469.99

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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.