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Finding the Fourth Proportional to 284,470.70, 392,581.46 and 163,612.07

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Solution

The fourth proportional to 284,470.70, 392,581.46 and 163,612.07 is: 225,791.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,470.70 : 392,581.46 = 163,612.07 : x
  2. Step 2: Convert to fraction form
    284,470.70/392,581.46 = 163,612.07/x
  3. Step 3: Cross multiply
    284,470.70x = 392,581.46 × 163,612.07
  4. Step 4: Simplify right side
    284,470.70x = 64,231,062,533.25
  5. Step 5: Solve for x
    x = 64,231,062,533.25/284,470.70
  6. Step 6: Final answer
    x = 225,791.49

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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.