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Finding the Fourth Proportional to 490,174.60, 735,261.90 and 194,686.60

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Solution

The fourth proportional to 490,174.60, 735,261.90 and 194,686.60 is: 292,029.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,174.60 : 735,261.90 = 194,686.60 : x
  2. Step 2: Convert to fraction form
    490,174.60/735,261.90 = 194,686.60/x
  3. Step 3: Cross multiply
    490,174.60x = 735,261.90 × 194,686.60
  4. Step 4: Simplify right side
    490,174.60x = 143,145,639,420.54
  5. Step 5: Solve for x
    x = 143,145,639,420.54/490,174.60
  6. Step 6: Final answer
    x = 292,029.90

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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.