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Finding the Fourth Proportional to 418,314.52, 577,277.70 and 227,327.90

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Solution

The fourth proportional to 418,314.52, 577,277.70 and 227,327.90 is: 313,714.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,314.52 : 577,277.70 = 227,327.90 : x
  2. Step 2: Convert to fraction form
    418,314.52/577,277.70 = 227,327.90/x
  3. Step 3: Cross multiply
    418,314.52x = 577,277.70 × 227,327.90
  4. Step 4: Simplify right side
    418,314.52x = 131,231,327,257.83
  5. Step 5: Solve for x
    x = 131,231,327,257.83/418,314.52
  6. Step 6: Final answer
    x = 313,714.50

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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.