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Finding the Fourth Proportional to 418,706.28, 577,964.97 and 248,940

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Solution

The fourth proportional to 418,706.28, 577,964.97 and 248,940 is: 343,626.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,706.28 : 577,964.97 = 248,940 : x
  2. Step 2: Convert to fraction form
    418,706.28/577,964.97 = 248,940/x
  3. Step 3: Cross multiply
    418,706.28x = 577,964.97 × 248,940
  4. Step 4: Simplify right side
    418,706.28x = 143,878,599,631.80
  5. Step 5: Solve for x
    x = 143,878,599,631.80/418,706.28
  6. Step 6: Final answer
    x = 343,626.56

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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.