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Finding the Fourth Proportional to 368,929.11, 509,123.19 and 213,910.50

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Solution

The fourth proportional to 368,929.11, 509,123.19 and 213,910.50 is: 295,197.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,929.11 : 509,123.19 = 213,910.50 : x
  2. Step 2: Convert to fraction form
    368,929.11/509,123.19 = 213,910.50/x
  3. Step 3: Cross multiply
    368,929.11x = 509,123.19 × 213,910.50
  4. Step 4: Simplify right side
    368,929.11x = 108,906,796,134.50
  5. Step 5: Solve for x
    x = 108,906,796,134.50/368,929.11
  6. Step 6: Final answer
    x = 295,197.08

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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.