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Finding the Fourth Proportional to 422,257.16, 631,796.64 and 296,143.58

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Solution

The fourth proportional to 422,257.16, 631,796.64 and 296,143.58 is: 443,100.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,257.16 : 631,796.64 = 296,143.58 : x
  2. Step 2: Convert to fraction form
    422,257.16/631,796.64 = 296,143.58/x
  3. Step 3: Cross multiply
    422,257.16x = 631,796.64 × 296,143.58
  4. Step 4: Simplify right side
    422,257.16x = 187,102,518,801.57
  5. Step 5: Solve for x
    x = 187,102,518,801.57/422,257.16
  6. Step 6: Final answer
    x = 443,100.88

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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.