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Finding the Fourth Proportional to 748,716, 1,122,754.32 and 433,390.56

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Solution

The fourth proportional to 748,716, 1,122,754.32 and 433,390.56 is: 649,900.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,716 : 1,122,754.32 = 433,390.56 : x
  2. Step 2: Convert to fraction form
    748,716/1,122,754.32 = 433,390.56/x
  3. Step 3: Cross multiply
    748,716x = 1,122,754.32 × 433,390.56
  4. Step 4: Simplify right side
    748,716x = 486,591,123,487.22
  5. Step 5: Solve for x
    x = 486,591,123,487.22/748,716
  6. Step 6: Final answer
    x = 649,900.79

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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.