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Finding the Fourth Proportional to 284,975.76, 393,270.24 and 164,138.24

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Solution

The fourth proportional to 284,975.76, 393,270.24 and 164,138.24 is: 226,512.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,975.76 : 393,270.24 = 164,138.24 : x
  2. Step 2: Convert to fraction form
    284,975.76/393,270.24 = 164,138.24/x
  3. Step 3: Cross multiply
    284,975.76x = 393,270.24 × 164,138.24
  4. Step 4: Simplify right side
    284,975.76x = 64,550,685,037.98
  5. Step 5: Solve for x
    x = 64,550,685,037.98/284,975.76
  6. Step 6: Final answer
    x = 226,512.90

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1.5x scale

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.