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Finding the Fourth Proportional to 418,000.26, 576,843.75 and 227,015.02

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Solution

The fourth proportional to 418,000.26, 576,843.75 and 227,015.02 is: 313,282.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,000.26 : 576,843.75 = 227,015.02 : x
  2. Step 2: Convert to fraction form
    418,000.26/576,843.75 = 227,015.02/x
  3. Step 3: Cross multiply
    418,000.26x = 576,843.75 × 227,015.02
  4. Step 4: Simplify right side
    418,000.26x = 130,952,195,443.13
  5. Step 5: Solve for x
    x = 130,952,195,443.13/418,000.26
  6. Step 6: Final answer
    x = 313,282.57

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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.