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Finding the Fourth Proportional to 542,109, 748,121.22 and 315,769.08

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Solution

The fourth proportional to 542,109, 748,121.22 and 315,769.08 is: 435,767.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,109 : 748,121.22 = 315,769.08 : x
  2. Step 2: Convert to fraction form
    542,109/748,121.22 = 315,769.08/x
  3. Step 3: Cross multiply
    542,109x = 748,121.22 × 315,769.08
  4. Step 4: Simplify right side
    542,109x = 236,233,549,367.88
  5. Step 5: Solve for x
    x = 236,233,549,367.88/542,109
  6. Step 6: Final answer
    x = 435,767.62

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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.