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Finding the Fourth Proportional to 499,408.22, 748,240.35 and 415,706.46

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Solution

The fourth proportional to 499,408.22, 748,240.35 and 415,706.46 is: 622,833.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,408.22 : 748,240.35 = 415,706.46 : x
  2. Step 2: Convert to fraction form
    499,408.22/748,240.35 = 415,706.46/x
  3. Step 3: Cross multiply
    499,408.22x = 748,240.35 × 415,706.46
  4. Step 4: Simplify right side
    499,408.22x = 311,048,347,127.66
  5. Step 5: Solve for x
    x = 311,048,347,127.66/499,408.22
  6. Step 6: Final answer
    x = 622,833.86

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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.