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Finding the Fourth Proportional to 362,544.76, 500,446.50 and 311,351.92

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Solution

The fourth proportional to 362,544.76, 500,446.50 and 311,351.92 is: 429,781.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,544.76 : 500,446.50 = 311,351.92 : x
  2. Step 2: Convert to fraction form
    362,544.76/500,446.50 = 311,351.92/x
  3. Step 3: Cross multiply
    362,544.76x = 500,446.50 × 311,351.92
  4. Step 4: Simplify right side
    362,544.76x = 155,814,978,632.28
  5. Step 5: Solve for x
    x = 155,814,978,632.28/362,544.76
  6. Step 6: Final answer
    x = 429,781.36

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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.