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Finding the Fourth Proportional to 309,649.19, 464,474.49 and 85,012.70

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Solution

The fourth proportional to 309,649.19, 464,474.49 and 85,012.70 is: 127,519.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,649.19 : 464,474.49 = 85,012.70 : x
  2. Step 2: Convert to fraction form
    309,649.19/464,474.49 = 85,012.70/x
  3. Step 3: Cross multiply
    309,649.19x = 464,474.49 × 85,012.70
  4. Step 4: Simplify right side
    309,649.19x = 39,486,228,153.65
  5. Step 5: Solve for x
    x = 39,486,228,153.65/309,649.19
  6. Step 6: Final answer
    x = 127,519.24

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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.