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Finding the Fourth Proportional to 212,632.71, 318,949.29 and 199,641.93

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Solution

The fourth proportional to 212,632.71, 318,949.29 and 199,641.93 is: 299,463.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,632.71 : 318,949.29 = 199,641.93 : x
  2. Step 2: Convert to fraction form
    212,632.71/318,949.29 = 199,641.93/x
  3. Step 3: Cross multiply
    212,632.71x = 318,949.29 × 199,641.93
  4. Step 4: Simplify right side
    212,632.71x = 63,675,651,827.73
  5. Step 5: Solve for x
    x = 63,675,651,827.73/212,632.71
  6. Step 6: Final answer
    x = 299,463.11

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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.