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Finding the Fourth Proportional to 306,045.16, 422,402.78 and 195,593.16

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Solution

The fourth proportional to 306,045.16, 422,402.78 and 195,593.16 is: 269,957.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,045.16 : 422,402.78 = 195,593.16 : x
  2. Step 2: Convert to fraction form
    306,045.16/422,402.78 = 195,593.16/x
  3. Step 3: Cross multiply
    306,045.16x = 422,402.78 × 195,593.16
  4. Step 4: Simplify right side
    306,045.16x = 82,619,094,532.98
  5. Step 5: Solve for x
    x = 82,619,094,532.98/306,045.16
  6. Step 6: Final answer
    x = 269,957.20

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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.