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Finding the Fourth Proportional to 212,643.54, 318,965.67 and 199,652.76

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Solution

The fourth proportional to 212,643.54, 318,965.67 and 199,652.76 is: 299,479.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,643.54 : 318,965.67 = 199,652.76 : x
  2. Step 2: Convert to fraction form
    212,643.54/318,965.67 = 199,652.76/x
  3. Step 3: Cross multiply
    212,643.54x = 318,965.67 × 199,652.76
  4. Step 4: Simplify right side
    212,643.54x = 63,682,376,360.75
  5. Step 5: Solve for x
    x = 63,682,376,360.75/212,643.54
  6. Step 6: Final answer
    x = 299,479.48

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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.