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Finding the Fourth Proportional to 378,258.48, 521,958.24 and 217,074.96

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Solution

The fourth proportional to 378,258.48, 521,958.24 and 217,074.96 is: 299,541.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,258.48 : 521,958.24 = 217,074.96 : x
  2. Step 2: Convert to fraction form
    378,258.48/521,958.24 = 217,074.96/x
  3. Step 3: Cross multiply
    378,258.48x = 521,958.24 × 217,074.96
  4. Step 4: Simplify right side
    378,258.48x = 113,304,064,069.67
  5. Step 5: Solve for x
    x = 113,304,064,069.67/378,258.48
  6. Step 6: Final answer
    x = 299,541.37

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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.