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Finding the Fourth Proportional to 210,219.20, 315,328.80 and 206,763.20

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Solution

The fourth proportional to 210,219.20, 315,328.80 and 206,763.20 is: 310,144.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,219.20 : 315,328.80 = 206,763.20 : x
  2. Step 2: Convert to fraction form
    210,219.20/315,328.80 = 206,763.20/x
  3. Step 3: Cross multiply
    210,219.20x = 315,328.80 × 206,763.20
  4. Step 4: Simplify right side
    210,219.20x = 65,198,391,740.16
  5. Step 5: Solve for x
    x = 65,198,391,740.16/210,219.20
  6. Step 6: Final answer
    x = 310,144.80

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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.