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Finding the Fourth Proportional to 288,965.66, 433,535.76 and 86,568.35

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Solution

The fourth proportional to 288,965.66, 433,535.76 and 86,568.35 is: 129,878.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,965.66 : 433,535.76 = 86,568.35 : x
  2. Step 2: Convert to fraction form
    288,965.66/433,535.76 = 86,568.35/x
  3. Step 3: Cross multiply
    288,965.66x = 433,535.76 × 86,568.35
  4. Step 4: Simplify right side
    288,965.66x = 37,530,473,241.52
  5. Step 5: Solve for x
    x = 37,530,473,241.52/288,965.66
  6. Step 6: Final answer
    x = 129,878.66

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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.