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Finding the Fourth Proportional to 356,464, 491,920.32 and 213,230.08

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Solution

The fourth proportional to 356,464, 491,920.32 and 213,230.08 is: 294,257.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,464 : 491,920.32 = 213,230.08 : x
  2. Step 2: Convert to fraction form
    356,464/491,920.32 = 213,230.08/x
  3. Step 3: Cross multiply
    356,464x = 491,920.32 × 213,230.08
  4. Step 4: Simplify right side
    356,464x = 104,892,209,187.23
  5. Step 5: Solve for x
    x = 104,892,209,187.23/356,464
  6. Step 6: Final answer
    x = 294,257.51

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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.