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Finding the Fourth Proportional to 422,499.40, 633,749.10 and 212,061.40

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Solution

The fourth proportional to 422,499.40, 633,749.10 and 212,061.40 is: 318,092.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,499.40 : 633,749.10 = 212,061.40 : x
  2. Step 2: Convert to fraction form
    422,499.40/633,749.10 = 212,061.40/x
  3. Step 3: Cross multiply
    422,499.40x = 633,749.10 × 212,061.40
  4. Step 4: Simplify right side
    422,499.40x = 134,393,721,394.74
  5. Step 5: Solve for x
    x = 134,393,721,394.74/422,499.40
  6. Step 6: Final answer
    x = 318,092.10

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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.