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Finding the Fourth Proportional to 284,859.30, 427,288.95 and 178,571.10

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Solution

The fourth proportional to 284,859.30, 427,288.95 and 178,571.10 is: 267,856.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,859.30 : 427,288.95 = 178,571.10 : x
  2. Step 2: Convert to fraction form
    284,859.30/427,288.95 = 178,571.10/x
  3. Step 3: Cross multiply
    284,859.30x = 427,288.95 × 178,571.10
  4. Step 4: Simplify right side
    284,859.30x = 76,301,457,819.35
  5. Step 5: Solve for x
    x = 76,301,457,819.35/284,859.30
  6. Step 6: Final answer
    x = 267,856.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.