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Finding the Fourth Proportional to 231,409.40, 347,114.10 and 142,374.20

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Solution

The fourth proportional to 231,409.40, 347,114.10 and 142,374.20 is: 213,561.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,409.40 : 347,114.10 = 142,374.20 : x
  2. Step 2: Convert to fraction form
    231,409.40/347,114.10 = 142,374.20/x
  3. Step 3: Cross multiply
    231,409.40x = 347,114.10 × 142,374.20
  4. Step 4: Simplify right side
    231,409.40x = 49,420,092,296.22
  5. Step 5: Solve for x
    x = 49,420,092,296.22/231,409.40
  6. Step 6: Final answer
    x = 213,561.30

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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.