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Finding the Fourth Proportional to 383,409.96, 574,839.90 and 146,553

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Solution

The fourth proportional to 383,409.96, 574,839.90 and 146,553 is: 219,724.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,409.96 : 574,839.90 = 146,553 : x
  2. Step 2: Convert to fraction form
    383,409.96/574,839.90 = 146,553/x
  3. Step 3: Cross multiply
    383,409.96x = 574,839.90 × 146,553
  4. Step 4: Simplify right side
    383,409.96x = 84,244,511,864.70
  5. Step 5: Solve for x
    x = 84,244,511,864.70/383,409.96
  6. Step 6: Final answer
    x = 219,724.37

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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.