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Finding the Fourth Proportional to 231,634.60, 347,970.30 and 222,188.20

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Solution

The fourth proportional to 231,634.60, 347,970.30 and 222,188.20 is: 333,779.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,634.60 : 347,970.30 = 222,188.20 : x
  2. Step 2: Convert to fraction form
    231,634.60/347,970.30 = 222,188.20/x
  3. Step 3: Cross multiply
    231,634.60x = 347,970.30 × 222,188.20
  4. Step 4: Simplify right side
    231,634.60x = 77,314,894,610.46
  5. Step 5: Solve for x
    x = 77,314,894,610.46/231,634.60
  6. Step 6: Final answer
    x = 333,779.56

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1.5x scale

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.