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Finding the Fourth Proportional to 667,018.83, 920,484.92 and 361,095.14

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Solution

The fourth proportional to 667,018.83, 920,484.92 and 361,095.14 is: 498,310.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,018.83 : 920,484.92 = 361,095.14 : x
  2. Step 2: Convert to fraction form
    667,018.83/920,484.92 = 361,095.14/x
  3. Step 3: Cross multiply
    667,018.83x = 920,484.92 × 361,095.14
  4. Step 4: Simplify right side
    667,018.83x = 332,382,624,647.39
  5. Step 5: Solve for x
    x = 332,382,624,647.39/667,018.83
  6. Step 6: Final answer
    x = 498,310.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.