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Finding the Fourth Proportional to 408,437.36, 612,202.03 and 308,272.76

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Solution

The fourth proportional to 408,437.36, 612,202.03 and 308,272.76 is: 462,066.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,437.36 : 612,202.03 = 308,272.76 : x
  2. Step 2: Convert to fraction form
    408,437.36/612,202.03 = 308,272.76/x
  3. Step 3: Cross multiply
    408,437.36x = 612,202.03 × 308,272.76
  4. Step 4: Simplify right side
    408,437.36x = 188,725,205,634.01
  5. Step 5: Solve for x
    x = 188,725,205,634.01/408,437.36
  6. Step 6: Final answer
    x = 462,066.47

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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.