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Finding the Fourth Proportional to 408,438.48, 612,203.70 and 308,273.88

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Solution

The fourth proportional to 408,438.48, 612,203.70 and 308,273.88 is: 462,068.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,438.48 : 612,203.70 = 308,273.88 : x
  2. Step 2: Convert to fraction form
    408,438.48/612,203.70 = 308,273.88/x
  3. Step 3: Cross multiply
    408,438.48x = 612,203.70 × 308,273.88
  4. Step 4: Simplify right side
    408,438.48x = 188,726,409,949.36
  5. Step 5: Solve for x
    x = 188,726,409,949.36/408,438.48
  6. Step 6: Final answer
    x = 462,068.14

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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.