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Finding the Fourth Proportional to 418,712.28, 577,973.26 and 248,946

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Solution

The fourth proportional to 418,712.28, 577,973.26 and 248,946 is: 343,634.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,712.28 : 577,973.26 = 248,946 : x
  2. Step 2: Convert to fraction form
    418,712.28/577,973.26 = 248,946/x
  3. Step 3: Cross multiply
    418,712.28x = 577,973.26 × 248,946
  4. Step 4: Simplify right side
    418,712.28x = 143,884,131,183.96
  5. Step 5: Solve for x
    x = 143,884,131,183.96/418,712.28
  6. Step 6: Final answer
    x = 343,634.85

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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.