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Finding the Fourth Proportional to 313,289.64, 469,983.42 and 102,879.72

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Solution

The fourth proportional to 313,289.64, 469,983.42 and 102,879.72 is: 154,335.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,289.64 : 469,983.42 = 102,879.72 : x
  2. Step 2: Convert to fraction form
    313,289.64/469,983.42 = 102,879.72/x
  3. Step 3: Cross multiply
    313,289.64x = 469,983.42 × 102,879.72
  4. Step 4: Simplify right side
    313,289.64x = 48,351,762,654.24
  5. Step 5: Solve for x
    x = 48,351,762,654.24/313,289.64
  6. Step 6: Final answer
    x = 154,335.66

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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.