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Finding the Fourth Proportional to 403,857.32, 557,326.90 and 222,575.88

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Solution

The fourth proportional to 403,857.32, 557,326.90 and 222,575.88 is: 307,156.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,857.32 : 557,326.90 = 222,575.88 : x
  2. Step 2: Convert to fraction form
    403,857.32/557,326.90 = 222,575.88/x
  3. Step 3: Cross multiply
    403,857.32x = 557,326.90 × 222,575.88
  4. Step 4: Simplify right side
    403,857.32x = 124,047,525,215.17
  5. Step 5: Solve for x
    x = 124,047,525,215.17/403,857.32
  6. Step 6: Final answer
    x = 307,156.81

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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.