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Finding the Fourth Proportional to 313,647.55, 470,480.56 and 76,990.23

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Solution

The fourth proportional to 313,647.55, 470,480.56 and 76,990.23 is: 115,487.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,647.55 : 470,480.56 = 76,990.23 : x
  2. Step 2: Convert to fraction form
    313,647.55/470,480.56 = 76,990.23/x
  3. Step 3: Cross multiply
    313,647.55x = 470,480.56 × 76,990.23
  4. Step 4: Simplify right side
    313,647.55x = 36,222,406,524.93
  5. Step 5: Solve for x
    x = 36,222,406,524.93/313,647.55
  6. Step 6: Final answer
    x = 115,487.61

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1.5x scale

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.