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Finding the Fourth Proportional to 284,153.60, 392,120.72 and 163,314.56

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Solution

The fourth proportional to 284,153.60, 392,120.72 and 163,314.56 is: 225,367.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,153.60 : 392,120.72 = 163,314.56 : x
  2. Step 2: Convert to fraction form
    284,153.60/392,120.72 = 163,314.56/x
  3. Step 3: Cross multiply
    284,153.60x = 392,120.72 × 163,314.56
  4. Step 4: Simplify right side
    284,153.60x = 64,039,022,853.68
  5. Step 5: Solve for x
    x = 64,039,022,853.68/284,153.60
  6. Step 6: Final answer
    x = 225,367.63

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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.