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Finding the Fourth Proportional to 422,120.16, 633,326.58 and 185,429.88

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Solution

The fourth proportional to 422,120.16, 633,326.58 and 185,429.88 is: 278,209.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,120.16 : 633,326.58 = 185,429.88 : x
  2. Step 2: Convert to fraction form
    422,120.16/633,326.58 = 185,429.88/x
  3. Step 3: Cross multiply
    422,120.16x = 633,326.58 × 185,429.88
  4. Step 4: Simplify right side
    422,120.16x = 117,437,671,730.21
  5. Step 5: Solve for x
    x = 117,437,671,730.21/422,120.16
  6. Step 6: Final answer
    x = 278,209.10

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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.