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Finding the Fourth Proportional to 509,305.31, 763,958.10 and 189,415.38

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Solution

The fourth proportional to 509,305.31, 763,958.10 and 189,415.38 is: 284,123.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,305.31 : 763,958.10 = 189,415.38 : x
  2. Step 2: Convert to fraction form
    509,305.31/763,958.10 = 189,415.38/x
  3. Step 3: Cross multiply
    509,305.31x = 763,958.10 × 189,415.38
  4. Step 4: Simplify right side
    509,305.31x = 144,705,413,815.58
  5. Step 5: Solve for x
    x = 144,705,413,815.58/509,305.31
  6. Step 6: Final answer
    x = 284,123.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.