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Finding the Fourth Proportional to 561,511.66, 842,175.22 and 201,608.01

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Solution

The fourth proportional to 561,511.66, 842,175.22 and 201,608.01 is: 302,378.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,511.66 : 842,175.22 = 201,608.01 : x
  2. Step 2: Convert to fraction form
    561,511.66/842,175.22 = 201,608.01/x
  3. Step 3: Cross multiply
    561,511.66x = 842,175.22 × 201,608.01
  4. Step 4: Simplify right side
    561,511.66x = 169,789,265,460.62
  5. Step 5: Solve for x
    x = 169,789,265,460.62/561,511.66
  6. Step 6: Final answer
    x = 302,378.88

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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.