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Finding the Fourth Proportional to 224,219.94, 309,423.32 and 128,732.46

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Solution

The fourth proportional to 224,219.94, 309,423.32 and 128,732.46 is: 177,650.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,219.94 : 309,423.32 = 128,732.46 : x
  2. Step 2: Convert to fraction form
    224,219.94/309,423.32 = 128,732.46/x
  3. Step 3: Cross multiply
    224,219.94x = 309,423.32 × 128,732.46
  4. Step 4: Simplify right side
    224,219.94x = 39,832,825,164.97
  5. Step 5: Solve for x
    x = 39,832,825,164.97/224,219.94
  6. Step 6: Final answer
    x = 177,650.68

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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.