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Finding the Fourth Proportional to 284,569.40, 426,861.40 and 134,774.48

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Solution

The fourth proportional to 284,569.40, 426,861.40 and 134,774.48 is: 202,165.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,569.40 : 426,861.40 = 134,774.48 : x
  2. Step 2: Convert to fraction form
    284,569.40/426,861.40 = 134,774.48/x
  3. Step 3: Cross multiply
    284,569.40x = 426,861.40 × 134,774.48
  4. Step 4: Simplify right side
    284,569.40x = 57,530,023,217.07
  5. Step 5: Solve for x
    x = 57,530,023,217.07/284,569.40
  6. Step 6: Final answer
    x = 202,165.18

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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.