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Finding the Fourth Proportional to 212,748.40, 319,122.60 and 196,345.90

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Solution

The fourth proportional to 212,748.40, 319,122.60 and 196,345.90 is: 294,518.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,748.40 : 319,122.60 = 196,345.90 : x
  2. Step 2: Convert to fraction form
    212,748.40/319,122.60 = 196,345.90/x
  3. Step 3: Cross multiply
    212,748.40x = 319,122.60 × 196,345.90
  4. Step 4: Simplify right side
    212,748.40x = 62,658,414,107.34
  5. Step 5: Solve for x
    x = 62,658,414,107.34/212,748.40
  6. Step 6: Final answer
    x = 294,518.85

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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.