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Finding the Fourth Proportional to 418,477.80, 577,492.56 and 227,496

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Solution

The fourth proportional to 418,477.80, 577,492.56 and 227,496 is: 313,940.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,477.80 : 577,492.56 = 227,496 : x
  2. Step 2: Convert to fraction form
    418,477.80/577,492.56 = 227,496/x
  3. Step 3: Cross multiply
    418,477.80x = 577,492.56 × 227,496
  4. Step 4: Simplify right side
    418,477.80x = 131,377,247,429.76
  5. Step 5: Solve for x
    x = 131,377,247,429.76/418,477.80
  6. Step 6: Final answer
    x = 313,940.78

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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.