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Finding the Fourth Proportional to 665,971.60, 998,557.84 and 305,691.72

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Solution

The fourth proportional to 665,971.60, 998,557.84 and 305,691.72 is: 458,354.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,971.60 : 998,557.84 = 305,691.72 : x
  2. Step 2: Convert to fraction form
    665,971.60/998,557.84 = 305,691.72/x
  3. Step 3: Cross multiply
    665,971.60x = 998,557.84 × 305,691.72
  4. Step 4: Simplify right side
    665,971.60x = 305,250,857,107.84
  5. Step 5: Solve for x
    x = 305,250,857,107.84/665,971.60
  6. Step 6: Final answer
    x = 458,354.17

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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.