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Finding the Fourth Proportional to 287,425.80, 431,138.70 and 259,432.20

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Solution

The fourth proportional to 287,425.80, 431,138.70 and 259,432.20 is: 389,148.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,425.80 : 431,138.70 = 259,432.20 : x
  2. Step 2: Convert to fraction form
    287,425.80/431,138.70 = 259,432.20/x
  3. Step 3: Cross multiply
    287,425.80x = 431,138.70 × 259,432.20
  4. Step 4: Simplify right side
    287,425.80x = 111,851,261,446.14
  5. Step 5: Solve for x
    x = 111,851,261,446.14/287,425.80
  6. Step 6: Final answer
    x = 389,148.30

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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.