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Finding the Fourth Proportional to 418,107.74, 576,989.70 and 227,117.12

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Solution

The fourth proportional to 418,107.74, 576,989.70 and 227,117.12 is: 313,422.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,107.74 : 576,989.70 = 227,117.12 : x
  2. Step 2: Convert to fraction form
    418,107.74/576,989.70 = 227,117.12/x
  3. Step 3: Cross multiply
    418,107.74x = 576,989.70 × 227,117.12
  4. Step 4: Simplify right side
    418,107.74x = 131,044,238,933.66
  5. Step 5: Solve for x
    x = 131,044,238,933.66/418,107.74
  6. Step 6: Final answer
    x = 313,422.18

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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.