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Finding the Fourth Proportional to 199,412.80, 299,119.20 and 181,916.80

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Solution

The fourth proportional to 199,412.80, 299,119.20 and 181,916.80 is: 272,875.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,412.80 : 299,119.20 = 181,916.80 : x
  2. Step 2: Convert to fraction form
    199,412.80/299,119.20 = 181,916.80/x
  3. Step 3: Cross multiply
    199,412.80x = 299,119.20 × 181,916.80
  4. Step 4: Simplify right side
    199,412.80x = 54,414,807,682.56
  5. Step 5: Solve for x
    x = 54,414,807,682.56/199,412.80
  6. Step 6: Final answer
    x = 272,875.20

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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.