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Finding the Fourth Proportional to 418,395.06, 577,391.07 and 227,408.46

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Solution

The fourth proportional to 418,395.06, 577,391.07 and 227,408.46 is: 313,826.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,395.06 : 577,391.07 = 227,408.46 : x
  2. Step 2: Convert to fraction form
    418,395.06/577,391.07 = 227,408.46/x
  3. Step 3: Cross multiply
    418,395.06x = 577,391.07 × 227,408.46
  4. Step 4: Simplify right side
    418,395.06x = 131,303,614,046.45
  5. Step 5: Solve for x
    x = 131,303,614,046.45/418,395.06
  6. Step 6: Final answer
    x = 313,826.87

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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.