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Finding the Fourth Proportional to 224,294.85, 309,533.81 and 128,820.69

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Solution

The fourth proportional to 224,294.85, 309,533.81 and 128,820.69 is: 177,776.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,294.85 : 309,533.81 = 128,820.69 : x
  2. Step 2: Convert to fraction form
    224,294.85/309,533.81 = 128,820.69/x
  3. Step 3: Cross multiply
    224,294.85x = 309,533.81 × 128,820.69
  4. Step 4: Simplify right side
    224,294.85x = 39,874,358,338.43
  5. Step 5: Solve for x
    x = 39,874,358,338.43/224,294.85
  6. Step 6: Final answer
    x = 177,776.52

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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.