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Finding the Fourth Proportional to 313,287.40, 469,931.10 and 206,999.20

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Solution

The fourth proportional to 313,287.40, 469,931.10 and 206,999.20 is: 310,498.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,287.40 : 469,931.10 = 206,999.20 : x
  2. Step 2: Convert to fraction form
    313,287.40/469,931.10 = 206,999.20/x
  3. Step 3: Cross multiply
    313,287.40x = 469,931.10 × 206,999.20
  4. Step 4: Simplify right side
    313,287.40x = 97,275,361,755.12
  5. Step 5: Solve for x
    x = 97,275,361,755.12/313,287.40
  6. Step 6: Final answer
    x = 310,498.80

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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.