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Finding the Fourth Proportional to 403,005.96, 556,148.22 and 221,714

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Solution

The fourth proportional to 403,005.96, 556,148.22 and 221,714 is: 305,965.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,005.96 : 556,148.22 = 221,714 : x
  2. Step 2: Convert to fraction form
    403,005.96/556,148.22 = 221,714/x
  3. Step 3: Cross multiply
    403,005.96x = 556,148.22 × 221,714
  4. Step 4: Simplify right side
    403,005.96x = 123,305,846,449.08
  5. Step 5: Solve for x
    x = 123,305,846,449.08/403,005.96
  6. Step 6: Final answer
    x = 305,965.32

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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.