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Finding the Fourth Proportional to 309,763.07, 464,649.70 and 85,122.10

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Solution

The fourth proportional to 309,763.07, 464,649.70 and 85,122.10 is: 127,684.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,763.07 : 464,649.70 = 85,122.10 : x
  2. Step 2: Convert to fraction form
    309,763.07/464,649.70 = 85,122.10/x
  3. Step 3: Cross multiply
    309,763.07x = 464,649.70 × 85,122.10
  4. Step 4: Simplify right side
    309,763.07x = 39,551,958,228.37
  5. Step 5: Solve for x
    x = 39,551,958,228.37/309,763.07
  6. Step 6: Final answer
    x = 127,684.55

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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.