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Finding the Fourth Proportional to 298,910.42, 448,628.81 and 156,857.15

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Solution

The fourth proportional to 298,910.42, 448,628.81 and 156,857.15 is: 235,423.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,910.42 : 448,628.81 = 156,857.15 : x
  2. Step 2: Convert to fraction form
    298,910.42/448,628.81 = 156,857.15/x
  3. Step 3: Cross multiply
    298,910.42x = 448,628.81 × 156,857.15
  4. Step 4: Simplify right side
    298,910.42x = 70,370,633,517.06
  5. Step 5: Solve for x
    x = 70,370,633,517.06/298,910.42
  6. Step 6: Final answer
    x = 235,423.83

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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.