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Finding the Fourth Proportional to 422,573.96, 633,631.98 and 185,639.24

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Solution

The fourth proportional to 422,573.96, 633,631.98 and 185,639.24 is: 278,358.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,573.96 : 633,631.98 = 185,639.24 : x
  2. Step 2: Convert to fraction form
    422,573.96/633,631.98 = 185,639.24/x
  3. Step 3: Cross multiply
    422,573.96x = 633,631.98 × 185,639.24
  4. Step 4: Simplify right side
    422,573.96x = 117,626,959,206.90
  5. Step 5: Solve for x
    x = 117,626,959,206.90/422,573.96
  6. Step 6: Final answer
    x = 278,358.28

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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.