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Finding the Fourth Proportional to 224,453.25, 309,774.24 and 128,978.55

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Solution

The fourth proportional to 224,453.25, 309,774.24 and 128,978.55 is: 178,006.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,453.25 : 309,774.24 = 128,978.55 : x
  2. Step 2: Convert to fraction form
    224,453.25/309,774.24 = 128,978.55/x
  3. Step 3: Cross multiply
    224,453.25x = 309,774.24 × 128,978.55
  4. Step 4: Simplify right side
    224,453.25x = 39,954,232,302.55
  5. Step 5: Solve for x
    x = 39,954,232,302.55/224,453.25
  6. Step 6: Final answer
    x = 178,006.92

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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.