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Finding the Fourth Proportional to 281,221.60, 421,832.40 and 259,570.30

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Solution

The fourth proportional to 281,221.60, 421,832.40 and 259,570.30 is: 389,355.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,221.60 : 421,832.40 = 259,570.30 : x
  2. Step 2: Convert to fraction form
    281,221.60/421,832.40 = 259,570.30/x
  3. Step 3: Cross multiply
    281,221.60x = 421,832.40 × 259,570.30
  4. Step 4: Simplify right side
    281,221.60x = 109,495,162,617.72
  5. Step 5: Solve for x
    x = 109,495,162,617.72/281,221.60
  6. Step 6: Final answer
    x = 389,355.45

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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.