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Finding the Fourth Proportional to 224,006.28, 309,128.65 and 123,404.28

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Solution

The fourth proportional to 224,006.28, 309,128.65 and 123,404.28 is: 170,297.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,006.28 : 309,128.65 = 123,404.28 : x
  2. Step 2: Convert to fraction form
    224,006.28/309,128.65 = 123,404.28/x
  3. Step 3: Cross multiply
    224,006.28x = 309,128.65 × 123,404.28
  4. Step 4: Simplify right side
    224,006.28x = 38,147,798,480.62
  5. Step 5: Solve for x
    x = 38,147,798,480.62/224,006.28
  6. Step 6: Final answer
    x = 170,297.90

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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.