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Finding the Fourth Proportional to 418,408.74, 577,379.43 and 227,420.46

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Solution

The fourth proportional to 418,408.74, 577,379.43 and 227,420.46 is: 313,826.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,408.74 : 577,379.43 = 227,420.46 : x
  2. Step 2: Convert to fraction form
    418,408.74/577,379.43 = 227,420.46/x
  3. Step 3: Cross multiply
    418,408.74x = 577,379.43 × 227,420.46
  4. Step 4: Simplify right side
    418,408.74x = 131,307,895,565.14
  5. Step 5: Solve for x
    x = 131,307,895,565.14/418,408.74
  6. Step 6: Final answer
    x = 313,826.85

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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.