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Finding the Fourth Proportional to 419,524.38, 628,761.15 and 330,426

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Solution

The fourth proportional to 419,524.38, 628,761.15 and 330,426 is: 495,225.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,524.38 : 628,761.15 = 330,426 : x
  2. Step 2: Convert to fraction form
    419,524.38/628,761.15 = 330,426/x
  3. Step 3: Cross multiply
    419,524.38x = 628,761.15 × 330,426
  4. Step 4: Simplify right side
    419,524.38x = 207,759,031,749.90
  5. Step 5: Solve for x
    x = 207,759,031,749.90/419,524.38
  6. Step 6: Final answer
    x = 495,225.17

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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.