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Finding the Fourth Proportional to 320,209.45, 480,305.90 and 104,066.97

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Solution

The fourth proportional to 320,209.45, 480,305.90 and 104,066.97 is: 156,097.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,209.45 : 480,305.90 = 104,066.97 : x
  2. Step 2: Convert to fraction form
    320,209.45/480,305.90 = 104,066.97/x
  3. Step 3: Cross multiply
    320,209.45x = 480,305.90 × 104,066.97
  4. Step 4: Simplify right side
    320,209.45x = 49,983,979,686.12
  5. Step 5: Solve for x
    x = 49,983,979,686.12/320,209.45
  6. Step 6: Final answer
    x = 156,097.77

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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.