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Finding the Fourth Proportional to 418,668.42, 577,756.98 and 227,677.71

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Solution

The fourth proportional to 418,668.42, 577,756.98 and 227,677.71 is: 314,192.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,668.42 : 577,756.98 = 227,677.71 : x
  2. Step 2: Convert to fraction form
    418,668.42/577,756.98 = 227,677.71/x
  3. Step 3: Cross multiply
    418,668.42x = 577,756.98 × 227,677.71
  4. Step 4: Simplify right side
    418,668.42x = 131,542,386,142.92
  5. Step 5: Solve for x
    x = 131,542,386,142.92/418,668.42
  6. Step 6: Final answer
    x = 314,192.28

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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.