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Finding the Fourth Proportional to 313,829.70, 470,744.55 and 193,982.10

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Solution

The fourth proportional to 313,829.70, 470,744.55 and 193,982.10 is: 290,973.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,829.70 : 470,744.55 = 193,982.10 : x
  2. Step 2: Convert to fraction form
    313,829.70/470,744.55 = 193,982.10/x
  3. Step 3: Cross multiply
    313,829.70x = 470,744.55 × 193,982.10
  4. Step 4: Simplify right side
    313,829.70x = 91,316,016,372.56
  5. Step 5: Solve for x
    x = 91,316,016,372.56/313,829.70
  6. Step 6: Final answer
    x = 290,973.15

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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.