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Finding the Fourth Proportional to 356,464.52, 491,998.02 and 213,256.52

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Solution

The fourth proportional to 356,464.52, 491,998.02 and 213,256.52 is: 294,340.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,464.52 : 491,998.02 = 213,256.52 : x
  2. Step 2: Convert to fraction form
    356,464.52/491,998.02 = 213,256.52/x
  3. Step 3: Cross multiply
    356,464.52x = 491,998.02 × 213,256.52
  4. Step 4: Simplify right side
    356,464.52x = 104,921,785,592.09
  5. Step 5: Solve for x
    x = 104,921,785,592.09/356,464.52
  6. Step 6: Final answer
    x = 294,340.05

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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.