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Finding the Fourth Proportional to 214,915.70, 322,717.80 and 170,908.40

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Solution

The fourth proportional to 214,915.70, 322,717.80 and 170,908.40 is: 256,636.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,915.70 : 322,717.80 = 170,908.40 : x
  2. Step 2: Convert to fraction form
    214,915.70/322,717.80 = 170,908.40/x
  3. Step 3: Cross multiply
    214,915.70x = 322,717.80 × 170,908.40
  4. Step 4: Simplify right side
    214,915.70x = 55,155,182,849.52
  5. Step 5: Solve for x
    x = 55,155,182,849.52/214,915.70
  6. Step 6: Final answer
    x = 256,636.36

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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.