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Finding the Fourth Proportional to 418,358.65, 577,339.41 and 227,372.05

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Solution

The fourth proportional to 418,358.65, 577,339.41 and 227,372.05 is: 313,775.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,358.65 : 577,339.41 = 227,372.05 : x
  2. Step 2: Convert to fraction form
    418,358.65/577,339.41 = 227,372.05/x
  3. Step 3: Cross multiply
    418,358.65x = 577,339.41 × 227,372.05
  4. Step 4: Simplify right side
    418,358.65x = 131,270,845,197.49
  5. Step 5: Solve for x
    x = 131,270,845,197.49/418,358.65
  6. Step 6: Final answer
    x = 313,775.86

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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.