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Finding the Fourth Proportional to 463,869.28, 640,146.42 and 270,272.80

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Solution

The fourth proportional to 463,869.28, 640,146.42 and 270,272.80 is: 372,980.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,869.28 : 640,146.42 = 270,272.80 : x
  2. Step 2: Convert to fraction form
    463,869.28/640,146.42 = 270,272.80/x
  3. Step 3: Cross multiply
    463,869.28x = 640,146.42 × 270,272.80
  4. Step 4: Simplify right side
    463,869.28x = 173,014,165,343.38
  5. Step 5: Solve for x
    x = 173,014,165,343.38/463,869.28
  6. Step 6: Final answer
    x = 372,980.43

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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.