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Finding the Fourth Proportional to 224,205.20, 309,388.20 and 128,698.64

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Solution

The fourth proportional to 224,205.20, 309,388.20 and 128,698.64 is: 177,595.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,205.20 : 309,388.20 = 128,698.64 : x
  2. Step 2: Convert to fraction form
    224,205.20/309,388.20 = 128,698.64/x
  3. Step 3: Cross multiply
    224,205.20x = 309,388.20 × 128,698.64
  4. Step 4: Simplify right side
    224,205.20x = 39,817,840,572.05
  5. Step 5: Solve for x
    x = 39,817,840,572.05/224,205.20
  6. Step 6: Final answer
    x = 177,595.53

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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.