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Finding the Fourth Proportional to 313,609.76, 470,487.60 and 103,249.52

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Solution

The fourth proportional to 313,609.76, 470,487.60 and 103,249.52 is: 154,898.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,609.76 : 470,487.60 = 103,249.52 : x
  2. Step 2: Convert to fraction form
    313,609.76/470,487.60 = 103,249.52/x
  3. Step 3: Cross multiply
    313,609.76x = 470,487.60 × 103,249.52
  4. Step 4: Simplify right side
    313,609.76x = 48,577,618,865.95
  5. Step 5: Solve for x
    x = 48,577,618,865.95/313,609.76
  6. Step 6: Final answer
    x = 154,898.30

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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.