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Finding the Fourth Proportional to 418,083.88, 576,966.49 and 227,108.20

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Solution

The fourth proportional to 418,083.88, 576,966.49 and 227,108.20 is: 313,415.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,083.88 : 576,966.49 = 227,108.20 : x
  2. Step 2: Convert to fraction form
    418,083.88/576,966.49 = 227,108.20/x
  3. Step 3: Cross multiply
    418,083.88x = 576,966.49 × 227,108.20
  4. Step 4: Simplify right side
    418,083.88x = 131,033,819,868.68
  5. Step 5: Solve for x
    x = 131,033,819,868.68/418,083.88
  6. Step 6: Final answer
    x = 313,415.14

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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.