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Finding the Fourth Proportional to 418,357.16, 577,337.34 and 227,370.56

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Solution

The fourth proportional to 418,357.16, 577,337.34 and 227,370.56 is: 313,773.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,357.16 : 577,337.34 = 227,370.56 : x
  2. Step 2: Convert to fraction form
    418,357.16/577,337.34 = 227,370.56/x
  3. Step 3: Cross multiply
    418,357.16x = 577,337.34 × 227,370.56
  4. Step 4: Simplify right side
    418,357.16x = 131,269,514,304.71
  5. Step 5: Solve for x
    x = 131,269,514,304.71/418,357.16
  6. Step 6: Final answer
    x = 313,773.80

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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.