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Finding the Fourth Proportional to 311,663.90, 468,340.01 and 169,614.20

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Solution

The fourth proportional to 311,663.90, 468,340.01 and 169,614.20 is: 254,880.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,663.90 : 468,340.01 = 169,614.20 : x
  2. Step 2: Convert to fraction form
    311,663.90/468,340.01 = 169,614.20/x
  3. Step 3: Cross multiply
    311,663.90x = 468,340.01 × 169,614.20
  4. Step 4: Simplify right side
    311,663.90x = 79,437,116,870.96
  5. Step 5: Solve for x
    x = 79,437,116,870.96/311,663.90
  6. Step 6: Final answer
    x = 254,880.71

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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.