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Finding the Fourth Proportional to 383,495.90, 575,243.84 and 146,838.57

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Solution

The fourth proportional to 383,495.90, 575,243.84 and 146,838.57 is: 220,257.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,495.90 : 575,243.84 = 146,838.57 : x
  2. Step 2: Convert to fraction form
    383,495.90/575,243.84 = 146,838.57/x
  3. Step 3: Cross multiply
    383,495.90x = 575,243.84 × 146,838.57
  4. Step 4: Simplify right side
    383,495.90x = 84,467,982,132.72
  5. Step 5: Solve for x
    x = 84,467,982,132.72/383,495.90
  6. Step 6: Final answer
    x = 220,257.85

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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.