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Finding the Fourth Proportional to 309,872.66, 464,732.43 and 85,222.19

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Solution

The fourth proportional to 309,872.66, 464,732.43 and 85,222.19 is: 127,812.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,872.66 : 464,732.43 = 85,222.19 : x
  2. Step 2: Convert to fraction form
    309,872.66/464,732.43 = 85,222.19/x
  3. Step 3: Cross multiply
    309,872.66x = 464,732.43 × 85,222.19
  4. Step 4: Simplify right side
    309,872.66x = 39,605,513,124.96
  5. Step 5: Solve for x
    x = 39,605,513,124.96/309,872.66
  6. Step 6: Final answer
    x = 127,812.22

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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.