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Finding the Fourth Proportional to 224,410.40, 309,655.64 and 128,917.04

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Solution

The fourth proportional to 224,410.40, 309,655.64 and 128,917.04 is: 177,887.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,410.40 : 309,655.64 = 128,917.04 : x
  2. Step 2: Convert to fraction form
    224,410.40/309,655.64 = 128,917.04/x
  3. Step 3: Cross multiply
    224,410.40x = 309,655.64 × 128,917.04
  4. Step 4: Simplify right side
    224,410.40x = 39,919,888,528.11
  5. Step 5: Solve for x
    x = 39,919,888,528.11/224,410.40
  6. Step 6: Final answer
    x = 177,887.87

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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.