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Finding the Fourth Proportional to 284,965.51, 427,937.28 and 253,016.79

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Solution

The fourth proportional to 284,965.51, 427,937.28 and 253,016.79 is: 379,959.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,965.51 : 427,937.28 = 253,016.79 : x
  2. Step 2: Convert to fraction form
    284,965.51/427,937.28 = 253,016.79/x
  3. Step 3: Cross multiply
    284,965.51x = 427,937.28 × 253,016.79
  4. Step 4: Simplify right side
    284,965.51x = 108,275,314,767.25
  5. Step 5: Solve for x
    x = 108,275,314,767.25/284,965.51
  6. Step 6: Final answer
    x = 379,959.37

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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.