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Finding the Fourth Proportional to 475,704.24, 656,816.25 and 306,233.58

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Solution

The fourth proportional to 475,704.24, 656,816.25 and 306,233.58 is: 422,824.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,704.24 : 656,816.25 = 306,233.58 : x
  2. Step 2: Convert to fraction form
    475,704.24/656,816.25 = 306,233.58/x
  3. Step 3: Cross multiply
    475,704.24x = 656,816.25 × 306,233.58
  4. Step 4: Simplify right side
    475,704.24x = 201,139,191,639.68
  5. Step 5: Solve for x
    x = 201,139,191,639.68/475,704.24
  6. Step 6: Final answer
    x = 422,824.05

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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.