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Finding the Fourth Proportional to 316,789.54, 475,255.23 and 106,421.74

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Solution

The fourth proportional to 316,789.54, 475,255.23 and 106,421.74 is: 159,656.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,789.54 : 475,255.23 = 106,421.74 : x
  2. Step 2: Convert to fraction form
    316,789.54/475,255.23 = 106,421.74/x
  3. Step 3: Cross multiply
    316,789.54x = 475,255.23 × 106,421.74
  4. Step 4: Simplify right side
    316,789.54x = 50,577,488,520.70
  5. Step 5: Solve for x
    x = 50,577,488,520.70/316,789.54
  6. Step 6: Final answer
    x = 159,656.43

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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.