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Finding the Fourth Proportional to 279,612.88, 385,915.81 and 164,884.57

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Solution

The fourth proportional to 279,612.88, 385,915.81 and 164,884.57 is: 227,570.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,612.88 : 385,915.81 = 164,884.57 : x
  2. Step 2: Convert to fraction form
    279,612.88/385,915.81 = 164,884.57/x
  3. Step 3: Cross multiply
    279,612.88x = 385,915.81 × 164,884.57
  4. Step 4: Simplify right side
    279,612.88x = 63,631,562,388.05
  5. Step 5: Solve for x
    x = 63,631,562,388.05/279,612.88
  6. Step 6: Final answer
    x = 227,570.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.