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Finding the Fourth Proportional to 218,422.98, 301,308.10 and 150,321.72

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Solution

The fourth proportional to 218,422.98, 301,308.10 and 150,321.72 is: 207,364.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,422.98 : 301,308.10 = 150,321.72 : x
  2. Step 2: Convert to fraction form
    218,422.98/301,308.10 = 150,321.72/x
  3. Step 3: Cross multiply
    218,422.98x = 301,308.10 × 150,321.72
  4. Step 4: Simplify right side
    218,422.98x = 45,293,150,335.39
  5. Step 5: Solve for x
    x = 45,293,150,335.39/218,422.98
  6. Step 6: Final answer
    x = 207,364.41

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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.