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Finding the Fourth Proportional to 224,074.76, 309,204.14 and 128,579.40

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Solution

The fourth proportional to 224,074.76, 309,204.14 and 128,579.40 is: 177,428.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,074.76 : 309,204.14 = 128,579.40 : x
  2. Step 2: Convert to fraction form
    224,074.76/309,204.14 = 128,579.40/x
  3. Step 3: Cross multiply
    224,074.76x = 309,204.14 × 128,579.40
  4. Step 4: Simplify right side
    224,074.76x = 39,757,282,155.82
  5. Step 5: Solve for x
    x = 39,757,282,155.82/224,074.76
  6. Step 6: Final answer
    x = 177,428.65

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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.