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Finding the Fourth Proportional to 224,006, 309,128.28 and 123,406.16

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Solution

The fourth proportional to 224,006, 309,128.28 and 123,406.16 is: 170,300.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,006 : 309,128.28 = 123,406.16 : x
  2. Step 2: Convert to fraction form
    224,006/309,128.28 = 123,406.16/x
  3. Step 3: Cross multiply
    224,006x = 309,128.28 × 123,406.16
  4. Step 4: Simplify right side
    224,006x = 38,148,333,982.20
  5. Step 5: Solve for x
    x = 38,148,333,982.20/224,006
  6. Step 6: Final answer
    x = 170,300.50

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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.