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Finding the Fourth Proportional to 408,912.10, 613,368.15 and 323,619.10

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Solution

The fourth proportional to 408,912.10, 613,368.15 and 323,619.10 is: 485,428.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,912.10 : 613,368.15 = 323,619.10 : x
  2. Step 2: Convert to fraction form
    408,912.10/613,368.15 = 323,619.10/x
  3. Step 3: Cross multiply
    408,912.10x = 613,368.15 × 323,619.10
  4. Step 4: Simplify right side
    408,912.10x = 198,497,648,671.67
  5. Step 5: Solve for x
    x = 198,497,648,671.67/408,912.10
  6. Step 6: Final answer
    x = 485,428.65

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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.