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Finding the Fourth Proportional to 284,856.20, 427,284.30 and 184,472.90

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Solution

The fourth proportional to 284,856.20, 427,284.30 and 184,472.90 is: 276,709.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,856.20 : 427,284.30 = 184,472.90 : x
  2. Step 2: Convert to fraction form
    284,856.20/427,284.30 = 184,472.90/x
  3. Step 3: Cross multiply
    284,856.20x = 427,284.30 × 184,472.90
  4. Step 4: Simplify right side
    284,856.20x = 78,822,373,945.47
  5. Step 5: Solve for x
    x = 78,822,373,945.47/284,856.20
  6. Step 6: Final answer
    x = 276,709.35

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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.