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Finding the Fourth Proportional to 306,358.16, 422,770.20 and 172,222.16

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Solution

The fourth proportional to 306,358.16, 422,770.20 and 172,222.16 is: 237,664.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,358.16 : 422,770.20 = 172,222.16 : x
  2. Step 2: Convert to fraction form
    306,358.16/422,770.20 = 172,222.16/x
  3. Step 3: Cross multiply
    306,358.16x = 422,770.20 × 172,222.16
  4. Step 4: Simplify right side
    306,358.16x = 72,810,397,027.63
  5. Step 5: Solve for x
    x = 72,810,397,027.63/306,358.16
  6. Step 6: Final answer
    x = 237,664.30

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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.