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Finding the Fourth Proportional to 306,064.17, 422,358.44 and 168,243.57

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Solution

The fourth proportional to 306,064.17, 422,358.44 and 168,243.57 is: 232,170.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,064.17 : 422,358.44 = 168,243.57 : x
  2. Step 2: Convert to fraction form
    306,064.17/422,358.44 = 168,243.57/x
  3. Step 3: Cross multiply
    306,064.17x = 422,358.44 × 168,243.57
  4. Step 4: Simplify right side
    306,064.17x = 71,059,090,924.01
  5. Step 5: Solve for x
    x = 71,059,090,924.01/306,064.17
  6. Step 6: Final answer
    x = 232,170.56

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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.