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Finding the Fourth Proportional to 408,901.85, 613,478.28 and 209,362.34

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Solution

The fourth proportional to 408,901.85, 613,478.28 and 209,362.34 is: 314,107.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,901.85 : 613,478.28 = 209,362.34 : x
  2. Step 2: Convert to fraction form
    408,901.85/613,478.28 = 209,362.34/x
  3. Step 3: Cross multiply
    408,901.85x = 613,478.28 × 209,362.34
  4. Step 4: Simplify right side
    408,901.85x = 128,439,245,172.58
  5. Step 5: Solve for x
    x = 128,439,245,172.58/408,901.85
  6. Step 6: Final answer
    x = 314,107.76

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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.