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Finding the Fourth Proportional to 212,613.78, 318,921.09 and 199,623

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Solution

The fourth proportional to 212,613.78, 318,921.09 and 199,623 is: 299,434.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,613.78 : 318,921.09 = 199,623 : x
  2. Step 2: Convert to fraction form
    212,613.78/318,921.09 = 199,623/x
  3. Step 3: Cross multiply
    212,613.78x = 318,921.09 × 199,623
  4. Step 4: Simplify right side
    212,613.78x = 63,663,984,749.07
  5. Step 5: Solve for x
    x = 63,663,984,749.07/212,613.78
  6. Step 6: Final answer
    x = 299,434.89

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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.