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Finding the Fourth Proportional to 281,496.20, 422,316.30 and 198,552.20

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Solution

The fourth proportional to 281,496.20, 422,316.30 and 198,552.20 is: 297,879.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,496.20 : 422,316.30 = 198,552.20 : x
  2. Step 2: Convert to fraction form
    281,496.20/422,316.30 = 198,552.20/x
  3. Step 3: Cross multiply
    281,496.20x = 422,316.30 × 198,552.20
  4. Step 4: Simplify right side
    281,496.20x = 83,851,830,460.86
  5. Step 5: Solve for x
    x = 83,851,830,460.86/281,496.20
  6. Step 6: Final answer
    x = 297,879.08

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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.