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Finding the Fourth Proportional to 490,747.67, 735,820.15 and 190,878.78

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Solution

The fourth proportional to 490,747.67, 735,820.15 and 190,878.78 is: 286,200.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,747.67 : 735,820.15 = 190,878.78 : x
  2. Step 2: Convert to fraction form
    490,747.67/735,820.15 = 190,878.78/x
  3. Step 3: Cross multiply
    490,747.67x = 735,820.15 × 190,878.78
  4. Step 4: Simplify right side
    490,747.67x = 140,452,452,531.42
  5. Step 5: Solve for x
    x = 140,452,452,531.42/490,747.67
  6. Step 6: Final answer
    x = 286,200.96

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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.