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Finding the Fourth Proportional to 378,674.36, 522,477.42 and 231,462.04

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Solution

The fourth proportional to 378,674.36, 522,477.42 and 231,462.04 is: 319,360.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,674.36 : 522,477.42 = 231,462.04 : x
  2. Step 2: Convert to fraction form
    378,674.36/522,477.42 = 231,462.04/x
  3. Step 3: Cross multiply
    378,674.36x = 522,477.42 × 231,462.04
  4. Step 4: Simplify right side
    378,674.36x = 120,933,689,487.14
  5. Step 5: Solve for x
    x = 120,933,689,487.14/378,674.36
  6. Step 6: Final answer
    x = 319,360.65

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1.5x scale

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.