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Finding the Fourth Proportional to 418,814.61, 577,963.72 and 227,827.54

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Solution

The fourth proportional to 418,814.61, 577,963.72 and 227,827.54 is: 314,401.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,814.61 : 577,963.72 = 227,827.54 : x
  2. Step 2: Convert to fraction form
    418,814.61/577,963.72 = 227,827.54/x
  3. Step 3: Cross multiply
    418,814.61x = 577,963.72 × 227,827.54
  4. Step 4: Simplify right side
    418,814.61x = 131,676,052,536.85
  5. Step 5: Solve for x
    x = 131,676,052,536.85/418,814.61
  6. Step 6: Final answer
    x = 314,401.76

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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.