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Finding the Fourth Proportional to 281,842.20, 421,779.15 and 197,205.30

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Solution

The fourth proportional to 281,842.20, 421,779.15 and 197,205.30 is: 295,119.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,842.20 : 421,779.15 = 197,205.30 : x
  2. Step 2: Convert to fraction form
    281,842.20/421,779.15 = 197,205.30/x
  3. Step 3: Cross multiply
    281,842.20x = 421,779.15 × 197,205.30
  4. Step 4: Simplify right side
    281,842.20x = 83,177,083,809.50
  5. Step 5: Solve for x
    x = 83,177,083,809.50/281,842.20
  6. Step 6: Final answer
    x = 295,119.34

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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.