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Finding the Fourth Proportional to 667,465.44, 1,000,498.32 and 312,180

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Solution

The fourth proportional to 667,465.44, 1,000,498.32 and 312,180 is: 467,942.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,465.44 : 1,000,498.32 = 312,180 : x
  2. Step 2: Convert to fraction form
    667,465.44/1,000,498.32 = 312,180/x
  3. Step 3: Cross multiply
    667,465.44x = 1,000,498.32 × 312,180
  4. Step 4: Simplify right side
    667,465.44x = 312,335,565,537.60
  5. Step 5: Solve for x
    x = 312,335,565,537.60/667,465.44
  6. Step 6: Final answer
    x = 467,942.68

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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.