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Finding the Fourth Proportional to 418,603.28, 577,668.54 and 227,616.80

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Solution

The fourth proportional to 418,603.28, 577,668.54 and 227,616.80 is: 314,109.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,603.28 : 577,668.54 = 227,616.80 : x
  2. Step 2: Convert to fraction form
    418,603.28/577,668.54 = 227,616.80/x
  3. Step 3: Cross multiply
    418,603.28x = 577,668.54 × 227,616.80
  4. Step 4: Simplify right side
    418,603.28x = 131,487,064,535.47
  5. Step 5: Solve for x
    x = 131,487,064,535.47/418,603.28
  6. Step 6: Final answer
    x = 314,109.02

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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.