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Finding the Fourth Proportional to 284,473.62, 392,584.86 and 163,614.76

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Solution

The fourth proportional to 284,473.62, 392,584.86 and 163,614.76 is: 225,794.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,473.62 : 392,584.86 = 163,614.76 : x
  2. Step 2: Convert to fraction form
    284,473.62/392,584.86 = 163,614.76/x
  3. Step 3: Cross multiply
    284,473.62x = 392,584.86 × 163,614.76
  4. Step 4: Simplify right side
    284,473.62x = 64,232,676,667.07
  5. Step 5: Solve for x
    x = 64,232,676,667.07/284,473.62
  6. Step 6: Final answer
    x = 225,794.84

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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.