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Finding the Fourth Proportional to 308,013.22, 424,899.03 and 194,901.58

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Solution

The fourth proportional to 308,013.22, 424,899.03 and 194,901.58 is: 268,863.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,013.22 : 424,899.03 = 194,901.58 : x
  2. Step 2: Convert to fraction form
    308,013.22/424,899.03 = 194,901.58/x
  3. Step 3: Cross multiply
    308,013.22x = 424,899.03 × 194,901.58
  4. Step 4: Simplify right side
    308,013.22x = 82,813,492,287.47
  5. Step 5: Solve for x
    x = 82,813,492,287.47/308,013.22
  6. Step 6: Final answer
    x = 268,863.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.