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Finding the Fourth Proportional to 256,394.67, 353,594.81 and 213,516.15

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Solution

The fourth proportional to 256,394.67, 353,594.81 and 213,516.15 is: 294,460.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,394.67 : 353,594.81 = 213,516.15 : x
  2. Step 2: Convert to fraction form
    256,394.67/353,594.81 = 213,516.15/x
  3. Step 3: Cross multiply
    256,394.67x = 353,594.81 × 213,516.15
  4. Step 4: Simplify right side
    256,394.67x = 75,498,199,949.09
  5. Step 5: Solve for x
    x = 75,498,199,949.09/256,394.67
  6. Step 6: Final answer
    x = 294,460.88

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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.