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Finding the Fourth Proportional to 306,952.56, 423,659.88 and 206,292.24

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Solution

The fourth proportional to 306,952.56, 423,659.88 and 206,292.24 is: 284,727.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,952.56 : 423,659.88 = 206,292.24 : x
  2. Step 2: Convert to fraction form
    306,952.56/423,659.88 = 206,292.24/x
  3. Step 3: Cross multiply
    306,952.56x = 423,659.88 × 206,292.24
  4. Step 4: Simplify right side
    306,952.56x = 87,397,745,643.33
  5. Step 5: Solve for x
    x = 87,397,745,643.33/306,952.56
  6. Step 6: Final answer
    x = 284,727.21

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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.