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Finding the Fourth Proportional to 374,638.52, 517,005.24 and 204,869

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Solution

The fourth proportional to 374,638.52, 517,005.24 and 204,869 is: 282,721.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,638.52 : 517,005.24 = 204,869 : x
  2. Step 2: Convert to fraction form
    374,638.52/517,005.24 = 204,869/x
  3. Step 3: Cross multiply
    374,638.52x = 517,005.24 × 204,869
  4. Step 4: Simplify right side
    374,638.52x = 105,918,346,513.56
  5. Step 5: Solve for x
    x = 105,918,346,513.56/374,638.52
  6. Step 6: Final answer
    x = 282,721.45

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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.