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Finding the Fourth Proportional to 418,408.92, 577,407.78 and 227,422.26

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Solution

The fourth proportional to 418,408.92, 577,407.78 and 227,422.26 is: 313,844.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,408.92 : 577,407.78 = 227,422.26 : x
  2. Step 2: Convert to fraction form
    418,408.92/577,407.78 = 227,422.26/x
  3. Step 3: Cross multiply
    418,408.92x = 577,407.78 × 227,422.26
  4. Step 4: Simplify right side
    418,408.92x = 131,315,382,269.18
  5. Step 5: Solve for x
    x = 131,315,382,269.18/418,408.92
  6. Step 6: Final answer
    x = 313,844.61

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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.