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Finding the Fourth Proportional to 398,886.08, 550,453.14 and 229,131.12

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Solution

The fourth proportional to 398,886.08, 550,453.14 and 229,131.12 is: 316,195.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,886.08 : 550,453.14 = 229,131.12 : x
  2. Step 2: Convert to fraction form
    398,886.08/550,453.14 = 229,131.12/x
  3. Step 3: Cross multiply
    398,886.08x = 550,453.14 × 229,131.12
  4. Step 4: Simplify right side
    398,886.08x = 126,125,944,475.72
  5. Step 5: Solve for x
    x = 126,125,944,475.72/398,886.08
  6. Step 6: Final answer
    x = 316,195.40

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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.