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Finding the Fourth Proportional to 288,969.72, 433,380 and 86,525.88

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Solution

The fourth proportional to 288,969.72, 433,380 and 86,525.88 is: 129,766.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,969.72 : 433,380 = 86,525.88 : x
  2. Step 2: Convert to fraction form
    288,969.72/433,380 = 86,525.88/x
  3. Step 3: Cross multiply
    288,969.72x = 433,380 × 86,525.88
  4. Step 4: Simplify right side
    288,969.72x = 37,498,585,874.40
  5. Step 5: Solve for x
    x = 37,498,585,874.40/288,969.72
  6. Step 6: Final answer
    x = 129,766.49

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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.