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Finding the Fourth Proportional to 383,462.70, 575,277.09 and 146,805.39

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Solution

The fourth proportional to 383,462.70, 575,277.09 and 146,805.39 is: 220,239.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,462.70 : 575,277.09 = 146,805.39 : x
  2. Step 2: Convert to fraction form
    383,462.70/575,277.09 = 146,805.39/x
  3. Step 3: Cross multiply
    383,462.70x = 575,277.09 × 146,805.39
  4. Step 4: Simplify right side
    383,462.70x = 84,453,777,555.52
  5. Step 5: Solve for x
    x = 84,453,777,555.52/383,462.70
  6. Step 6: Final answer
    x = 220,239.88

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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.