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Finding the Fourth Proportional to 309,282.08, 463,996.92 and 109,619.90

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Solution

The fourth proportional to 309,282.08, 463,996.92 and 109,619.90 is: 164,456.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,282.08 : 463,996.92 = 109,619.90 : x
  2. Step 2: Convert to fraction form
    309,282.08/463,996.92 = 109,619.90/x
  3. Step 3: Cross multiply
    309,282.08x = 463,996.92 × 109,619.90
  4. Step 4: Simplify right side
    309,282.08x = 50,863,295,970.71
  5. Step 5: Solve for x
    x = 50,863,295,970.71/309,282.08
  6. Step 6: Final answer
    x = 164,456.01

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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.