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Finding the Fourth Proportional to 418,324.53, 577,291.50 and 227,337.90

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Solution

The fourth proportional to 418,324.53, 577,291.50 and 227,337.90 is: 313,728.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,324.53 : 577,291.50 = 227,337.90 : x
  2. Step 2: Convert to fraction form
    418,324.53/577,291.50 = 227,337.90/x
  3. Step 3: Cross multiply
    418,324.53x = 577,291.50 × 227,337.90
  4. Step 4: Simplify right side
    418,324.53x = 131,240,237,297.85
  5. Step 5: Solve for x
    x = 131,240,237,297.85/418,324.53
  6. Step 6: Final answer
    x = 313,728.28

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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.