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Finding the Fourth Proportional to 288,756.98, 433,102.38 and 75,545.47

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Solution

The fourth proportional to 288,756.98, 433,102.38 and 75,545.47 is: 113,309.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,756.98 : 433,102.38 = 75,545.47 : x
  2. Step 2: Convert to fraction form
    288,756.98/433,102.38 = 75,545.47/x
  3. Step 3: Cross multiply
    288,756.98x = 433,102.38 × 75,545.47
  4. Step 4: Simplify right side
    288,756.98x = 32,718,923,113.30
  5. Step 5: Solve for x
    x = 32,718,923,113.30/288,756.98
  6. Step 6: Final answer
    x = 113,309.55

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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.