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Finding the Fourth Proportional to 418,478.80, 577,493.94 and 227,497

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Solution

The fourth proportional to 418,478.80, 577,493.94 and 227,497 is: 313,942.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,478.80 : 577,493.94 = 227,497 : x
  2. Step 2: Convert to fraction form
    418,478.80/577,493.94 = 227,497/x
  3. Step 3: Cross multiply
    418,478.80x = 577,493.94 × 227,497
  4. Step 4: Simplify right side
    418,478.80x = 131,378,138,868.18
  5. Step 5: Solve for x
    x = 131,378,138,868.18/418,478.80
  6. Step 6: Final answer
    x = 313,942.16

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1.5x scale

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.