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Finding the Fourth Proportional to 218,012.88, 300,734.91 and 137,301.78

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Solution

The fourth proportional to 218,012.88, 300,734.91 and 137,301.78 is: 189,399.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,012.88 : 300,734.91 = 137,301.78 : x
  2. Step 2: Convert to fraction form
    218,012.88/300,734.91 = 137,301.78/x
  3. Step 3: Cross multiply
    218,012.88x = 300,734.91 × 137,301.78
  4. Step 4: Simplify right side
    218,012.88x = 41,291,438,451.14
  5. Step 5: Solve for x
    x = 41,291,438,451.14/218,012.88
  6. Step 6: Final answer
    x = 189,399.08

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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.