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Finding the Fourth Proportional to 542,718.87, 748,997.91 and 301,079.22

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Solution

The fourth proportional to 542,718.87, 748,997.91 and 301,079.22 is: 415,514.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,718.87 : 748,997.91 = 301,079.22 : x
  2. Step 2: Convert to fraction form
    542,718.87/748,997.91 = 301,079.22/x
  3. Step 3: Cross multiply
    542,718.87x = 748,997.91 × 301,079.22
  4. Step 4: Simplify right side
    542,718.87x = 225,507,706,524.43
  5. Step 5: Solve for x
    x = 225,507,706,524.43/542,718.87
  6. Step 6: Final answer
    x = 415,514.77

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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.