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Finding the Fourth Proportional to 308,947.20, 462,643.20 and 203,193.60

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Solution

The fourth proportional to 308,947.20, 462,643.20 and 203,193.60 is: 304,278.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,947.20 : 462,643.20 = 203,193.60 : x
  2. Step 2: Convert to fraction form
    308,947.20/462,643.20 = 203,193.60/x
  3. Step 3: Cross multiply
    308,947.20x = 462,643.20 × 203,193.60
  4. Step 4: Simplify right side
    308,947.20x = 94,006,137,323.52
  5. Step 5: Solve for x
    x = 94,006,137,323.52/308,947.20
  6. Step 6: Final answer
    x = 304,278.97

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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.