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Finding the Fourth Proportional to 356,341.56, 491,735.25 and 213,180.54

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Solution

The fourth proportional to 356,341.56, 491,735.25 and 213,180.54 is: 294,179.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,341.56 : 491,735.25 = 213,180.54 : x
  2. Step 2: Convert to fraction form
    356,341.56/491,735.25 = 213,180.54/x
  3. Step 3: Cross multiply
    356,341.56x = 491,735.25 × 213,180.54
  4. Step 4: Simplify right side
    356,341.56x = 104,828,386,132.04
  5. Step 5: Solve for x
    x = 104,828,386,132.04/356,341.56
  6. Step 6: Final answer
    x = 294,179.51

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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.