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Finding the Fourth Proportional to 284,952.39, 393,195.78 and 162,460.57

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Solution

The fourth proportional to 284,952.39, 393,195.78 and 162,460.57 is: 224,173.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,952.39 : 393,195.78 = 162,460.57 : x
  2. Step 2: Convert to fraction form
    284,952.39/393,195.78 = 162,460.57/x
  3. Step 3: Cross multiply
    284,952.39x = 393,195.78 × 162,460.57
  4. Step 4: Simplify right side
    284,952.39x = 63,878,810,540.39
  5. Step 5: Solve for x
    x = 63,878,810,540.39/284,952.39
  6. Step 6: Final answer
    x = 224,173.63

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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.