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Finding the Fourth Proportional to 490,634.20, 735,951.30 and 471,971.80

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Solution

The fourth proportional to 490,634.20, 735,951.30 and 471,971.80 is: 707,957.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,634.20 : 735,951.30 = 471,971.80 : x
  2. Step 2: Convert to fraction form
    490,634.20/735,951.30 = 471,971.80/x
  3. Step 3: Cross multiply
    490,634.20x = 735,951.30 × 471,971.80
  4. Step 4: Simplify right side
    490,634.20x = 347,348,259,773.34
  5. Step 5: Solve for x
    x = 347,348,259,773.34/490,634.20
  6. Step 6: Final answer
    x = 707,957.70

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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.