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Finding the Fourth Proportional to 418,385.88, 577,372.60 and 227,399.30

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Solution

The fourth proportional to 418,385.88, 577,372.60 and 227,399.30 is: 313,811.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,385.88 : 577,372.60 = 227,399.30 : x
  2. Step 2: Convert to fraction form
    418,385.88/577,372.60 = 227,399.30/x
  3. Step 3: Cross multiply
    418,385.88x = 577,372.60 × 227,399.30
  4. Step 4: Simplify right side
    418,385.88x = 131,294,125,079.18
  5. Step 5: Solve for x
    x = 131,294,125,079.18/418,385.88
  6. Step 6: Final answer
    x = 313,811.08

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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.