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Finding the Fourth Proportional to 212,820.80, 319,231.20 and 194,849.60

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Solution

The fourth proportional to 212,820.80, 319,231.20 and 194,849.60 is: 292,274.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,820.80 : 319,231.20 = 194,849.60 : x
  2. Step 2: Convert to fraction form
    212,820.80/319,231.20 = 194,849.60/x
  3. Step 3: Cross multiply
    212,820.80x = 319,231.20 × 194,849.60
  4. Step 4: Simplify right side
    212,820.80x = 62,202,071,627.52
  5. Step 5: Solve for x
    x = 62,202,071,627.52/212,820.80
  6. Step 6: Final answer
    x = 292,274.40

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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.