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Finding the Fourth Proportional to 306,525.24, 422,865.90 and 221,507.64

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Solution

The fourth proportional to 306,525.24, 422,865.90 and 221,507.64 is: 305,580.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,525.24 : 422,865.90 = 221,507.64 : x
  2. Step 2: Convert to fraction form
    306,525.24/422,865.90 = 221,507.64/x
  3. Step 3: Cross multiply
    306,525.24x = 422,865.90 × 221,507.64
  4. Step 4: Simplify right side
    306,525.24x = 93,668,027,545.48
  5. Step 5: Solve for x
    x = 93,668,027,545.48/306,525.24
  6. Step 6: Final answer
    x = 305,580.15

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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.