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Finding the Fourth Proportional to 490,190.70, 676,538.28 and 299,315.82

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Solution

The fourth proportional to 490,190.70, 676,538.28 and 299,315.82 is: 413,101.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,190.70 : 676,538.28 = 299,315.82 : x
  2. Step 2: Convert to fraction form
    490,190.70/676,538.28 = 299,315.82/x
  3. Step 3: Cross multiply
    490,190.70x = 676,538.28 × 299,315.82
  4. Step 4: Simplify right side
    490,190.70x = 202,498,612,576.61
  5. Step 5: Solve for x
    x = 202,498,612,576.61/490,190.70
  6. Step 6: Final answer
    x = 413,101.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.