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Finding the Fourth Proportional to 398,699.42, 550,185.22 and 226,594.64

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Solution

The fourth proportional to 398,699.42, 550,185.22 and 226,594.64 is: 312,689.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,699.42 : 550,185.22 = 226,594.64 : x
  2. Step 2: Convert to fraction form
    398,699.42/550,185.22 = 226,594.64/x
  3. Step 3: Cross multiply
    398,699.42x = 550,185.22 × 226,594.64
  4. Step 4: Simplify right side
    398,699.42x = 124,669,022,668.20
  5. Step 5: Solve for x
    x = 124,669,022,668.20/398,699.42
  6. Step 6: Final answer
    x = 312,689.25

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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.