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Finding the Fourth Proportional to 333,408.96, 499,612 and 133,531.20

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Solution

The fourth proportional to 333,408.96, 499,612 and 133,531.20 is: 200,095.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,408.96 : 499,612 = 133,531.20 : x
  2. Step 2: Convert to fraction form
    333,408.96/499,612 = 133,531.20/x
  3. Step 3: Cross multiply
    333,408.96x = 499,612 × 133,531.20
  4. Step 4: Simplify right side
    333,408.96x = 66,713,789,894.40
  5. Step 5: Solve for x
    x = 66,713,789,894.40/333,408.96
  6. Step 6: Final answer
    x = 200,095.97

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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.