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Finding the Fourth Proportional to 288,693.77, 433,012.82 and 88,960.53

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Solution

The fourth proportional to 288,693.77, 433,012.82 and 88,960.53 is: 133,432.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,693.77 : 433,012.82 = 88,960.53 : x
  2. Step 2: Convert to fraction form
    288,693.77/433,012.82 = 88,960.53/x
  3. Step 3: Cross multiply
    288,693.77x = 433,012.82 × 88,960.53
  4. Step 4: Simplify right side
    288,693.77x = 38,521,049,207.70
  5. Step 5: Solve for x
    x = 38,521,049,207.70/288,693.77
  6. Step 6: Final answer
    x = 133,432.21

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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.