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Finding the Fourth Proportional to 224,391.30, 309,688.78 and 128,916.45

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Solution

The fourth proportional to 224,391.30, 309,688.78 and 128,916.45 is: 177,921.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,391.30 : 309,688.78 = 128,916.45 : x
  2. Step 2: Convert to fraction form
    224,391.30/309,688.78 = 128,916.45/x
  3. Step 3: Cross multiply
    224,391.30x = 309,688.78 × 128,916.45
  4. Step 4: Simplify right side
    224,391.30x = 39,923,978,122.43
  5. Step 5: Solve for x
    x = 39,923,978,122.43/224,391.30
  6. Step 6: Final answer
    x = 177,921.24

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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.