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Finding the Fourth Proportional to 313,118.82, 469,749.87 and 135,655.38

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Solution

The fourth proportional to 313,118.82, 469,749.87 and 135,655.38 is: 203,514.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,118.82 : 469,749.87 = 135,655.38 : x
  2. Step 2: Convert to fraction form
    313,118.82/469,749.87 = 135,655.38/x
  3. Step 3: Cross multiply
    313,118.82x = 469,749.87 × 135,655.38
  4. Step 4: Simplify right side
    313,118.82x = 63,724,097,119.80
  5. Step 5: Solve for x
    x = 63,724,097,119.80/313,118.82
  6. Step 6: Final answer
    x = 203,514.11

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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.