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Finding the Fourth Proportional to 309,388.55, 464,083.22 and 84,750.96

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Solution

The fourth proportional to 309,388.55, 464,083.22 and 84,750.96 is: 127,126.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,388.55 : 464,083.22 = 84,750.96 : x
  2. Step 2: Convert to fraction form
    309,388.55/464,083.22 = 84,750.96/x
  3. Step 3: Cross multiply
    309,388.55x = 464,083.22 × 84,750.96
  4. Step 4: Simplify right side
    309,388.55x = 39,331,497,756.61
  5. Step 5: Solve for x
    x = 39,331,497,756.61/309,388.55
  6. Step 6: Final answer
    x = 127,126.55

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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.