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Finding the Fourth Proportional to 213,231.40, 319,642.30 and 165,820.20

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Solution

The fourth proportional to 213,231.40, 319,642.30 and 165,820.20 is: 248,571.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,231.40 : 319,642.30 = 165,820.20 : x
  2. Step 2: Convert to fraction form
    213,231.40/319,642.30 = 165,820.20/x
  3. Step 3: Cross multiply
    213,231.40x = 319,642.30 × 165,820.20
  4. Step 4: Simplify right side
    213,231.40x = 53,003,150,114.46
  5. Step 5: Solve for x
    x = 53,003,150,114.46/213,231.40
  6. Step 6: Final answer
    x = 248,571.04

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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.