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Finding the Fourth Proportional to 340,305.75, 510,472.70 and 100,419.65

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Solution

The fourth proportional to 340,305.75, 510,472.70 and 100,419.65 is: 150,633.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,305.75 : 510,472.70 = 100,419.65 : x
  2. Step 2: Convert to fraction form
    340,305.75/510,472.70 = 100,419.65/x
  3. Step 3: Cross multiply
    340,305.75x = 510,472.70 × 100,419.65
  4. Step 4: Simplify right side
    340,305.75x = 51,261,489,868.56
  5. Step 5: Solve for x
    x = 51,261,489,868.56/340,305.75
  6. Step 6: Final answer
    x = 150,633.63

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1.5x scale

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.