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Finding the Fourth Proportional to 330,042.48, 494,984.49 and 152,378.82

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Solution

The fourth proportional to 330,042.48, 494,984.49 and 152,378.82 is: 228,531.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,042.48 : 494,984.49 = 152,378.82 : x
  2. Step 2: Convert to fraction form
    330,042.48/494,984.49 = 152,378.82/x
  3. Step 3: Cross multiply
    330,042.48x = 494,984.49 × 152,378.82
  4. Step 4: Simplify right side
    330,042.48x = 75,425,152,504.50
  5. Step 5: Solve for x
    x = 75,425,152,504.50/330,042.48
  6. Step 6: Final answer
    x = 228,531.65

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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.