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Finding the Fourth Proportional to 309,252.31, 463,890.73 and 147,107.42

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Solution

The fourth proportional to 309,252.31, 463,890.73 and 147,107.42 is: 220,666.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,252.31 : 463,890.73 = 147,107.42 : x
  2. Step 2: Convert to fraction form
    309,252.31/463,890.73 = 147,107.42/x
  3. Step 3: Cross multiply
    309,252.31x = 463,890.73 × 147,107.42
  4. Step 4: Simplify right side
    309,252.31x = 68,241,767,780.41
  5. Step 5: Solve for x
    x = 68,241,767,780.41/309,252.31
  6. Step 6: Final answer
    x = 220,666.96

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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.