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Finding the Fourth Proportional to 284,441.82, 392,504.31 and 163,550.94

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Solution

The fourth proportional to 284,441.82, 392,504.31 and 163,550.94 is: 225,685.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,441.82 : 392,504.31 = 163,550.94 : x
  2. Step 2: Convert to fraction form
    284,441.82/392,504.31 = 163,550.94/x
  3. Step 3: Cross multiply
    284,441.82x = 392,504.31 × 163,550.94
  4. Step 4: Simplify right side
    284,441.82x = 64,194,448,854.55
  5. Step 5: Solve for x
    x = 64,194,448,854.55/284,441.82
  6. Step 6: Final answer
    x = 225,685.69

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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.