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Finding the Fourth Proportional to 308,959.20, 433,476 and 308,959.20

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Solution

The fourth proportional to 308,959.20, 433,476 and 308,959.20 is: 433,476

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,959.20 : 433,476 = 308,959.20 : x
  2. Step 2: Convert to fraction form
    308,959.20/433,476 = 308,959.20/x
  3. Step 3: Cross multiply
    308,959.20x = 433,476 × 308,959.20
  4. Step 4: Simplify right side
    308,959.20x = 133,926,398,179.20
  5. Step 5: Solve for x
    x = 133,926,398,179.20/308,959.20
  6. Step 6: Final answer
    x = 433,476

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.