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Finding the Fourth Proportional to 212,632.56, 318,949.28 and 199,641.76

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Solution

The fourth proportional to 212,632.56, 318,949.28 and 199,641.76 is: 299,463.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,632.56 : 318,949.28 = 199,641.76 : x
  2. Step 2: Convert to fraction form
    212,632.56/318,949.28 = 199,641.76/x
  3. Step 3: Cross multiply
    212,632.56x = 318,949.28 × 199,641.76
  4. Step 4: Simplify right side
    212,632.56x = 63,675,595,609.93
  5. Step 5: Solve for x
    x = 63,675,595,609.93/212,632.56
  6. Step 6: Final answer
    x = 299,463.05

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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.