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Finding the Fourth Proportional to 561,245.80, 843,942.30 and 470,007.40

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Solution

The fourth proportional to 561,245.80, 843,942.30 and 470,007.40 is: 706,747.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,245.80 : 843,942.30 = 470,007.40 : x
  2. Step 2: Convert to fraction form
    561,245.80/843,942.30 = 470,007.40/x
  3. Step 3: Cross multiply
    561,245.80x = 843,942.30 × 470,007.40
  4. Step 4: Simplify right side
    561,245.80x = 396,659,126,173.02
  5. Step 5: Solve for x
    x = 396,659,126,173.02/561,245.80
  6. Step 6: Final answer
    x = 706,747.61

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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.