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Finding the Fourth Proportional to 218,422.72, 301,307.75 and 150,321.47

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Solution

The fourth proportional to 218,422.72, 301,307.75 and 150,321.47 is: 207,364.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,422.72 : 301,307.75 = 150,321.47 : x
  2. Step 2: Convert to fraction form
    218,422.72/301,307.75 = 150,321.47/x
  3. Step 3: Cross multiply
    218,422.72x = 301,307.75 × 150,321.47
  4. Step 4: Simplify right side
    218,422.72x = 45,293,023,902.39
  5. Step 5: Solve for x
    x = 45,293,023,902.39/218,422.72
  6. Step 6: Final answer
    x = 207,364.07

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1.5x scale

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.