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Finding the Fourth Proportional to 418,513.96, 577,560.66 and 227,540.52

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Solution

The fourth proportional to 418,513.96, 577,560.66 and 227,540.52 is: 314,012.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,513.96 : 577,560.66 = 227,540.52 : x
  2. Step 2: Convert to fraction form
    418,513.96/577,560.66 = 227,540.52/x
  3. Step 3: Cross multiply
    418,513.96x = 577,560.66 × 227,540.52
  4. Step 4: Simplify right side
    418,513.96x = 131,418,452,907.94
  5. Step 5: Solve for x
    x = 131,418,452,907.94/418,513.96
  6. Step 6: Final answer
    x = 314,012.11

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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.