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Finding the Fourth Proportional to 356,396.08, 491,826.42 and 213,156.12

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Solution

The fourth proportional to 356,396.08, 491,826.42 and 213,156.12 is: 294,155.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,396.08 : 491,826.42 = 213,156.12 : x
  2. Step 2: Convert to fraction form
    356,396.08/491,826.42 = 213,156.12/x
  3. Step 3: Cross multiply
    356,396.08x = 491,826.42 × 213,156.12
  4. Step 4: Simplify right side
    356,396.08x = 104,835,811,400.69
  5. Step 5: Solve for x
    x = 104,835,811,400.69/356,396.08
  6. Step 6: Final answer
    x = 294,155.34

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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.