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Finding the Fourth Proportional to 306,189.45, 422,593.74 and 197,263.17

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Solution

The fourth proportional to 306,189.45, 422,593.74 and 197,263.17 is: 272,256.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,189.45 : 422,593.74 = 197,263.17 : x
  2. Step 2: Convert to fraction form
    306,189.45/422,593.74 = 197,263.17/x
  3. Step 3: Cross multiply
    306,189.45x = 422,593.74 × 197,263.17
  4. Step 4: Simplify right side
    306,189.45x = 83,362,180,774.56
  5. Step 5: Solve for x
    x = 83,362,180,774.56/306,189.45
  6. Step 6: Final answer
    x = 272,256.87

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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.