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Finding the Fourth Proportional to 324,699.78, 487,095.42 and 100,078.38

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Solution

The fourth proportional to 324,699.78, 487,095.42 and 100,078.38 is: 150,131.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,699.78 : 487,095.42 = 100,078.38 : x
  2. Step 2: Convert to fraction form
    324,699.78/487,095.42 = 100,078.38/x
  3. Step 3: Cross multiply
    324,699.78x = 487,095.42 × 100,078.38
  4. Step 4: Simplify right side
    324,699.78x = 48,747,720,539.02
  5. Step 5: Solve for x
    x = 48,747,720,539.02/324,699.78
  6. Step 6: Final answer
    x = 150,131.67

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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.