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Finding the Fourth Proportional to 395,195.64, 545,319.12 and 225,419.64

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Solution

The fourth proportional to 395,195.64, 545,319.12 and 225,419.64 is: 311,050.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,195.64 : 545,319.12 = 225,419.64 : x
  2. Step 2: Convert to fraction form
    395,195.64/545,319.12 = 225,419.64/x
  3. Step 3: Cross multiply
    395,195.64x = 545,319.12 × 225,419.64
  4. Step 4: Simplify right side
    395,195.64x = 122,925,639,715.52
  5. Step 5: Solve for x
    x = 122,925,639,715.52/395,195.64
  6. Step 6: Final answer
    x = 311,050.09

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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.