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Finding the Fourth Proportional to 395,438.12, 545,743.68 and 225,697.76

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Solution

The fourth proportional to 395,438.12, 545,743.68 and 225,697.76 is: 311,485.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,438.12 : 545,743.68 = 225,697.76 : x
  2. Step 2: Convert to fraction form
    395,438.12/545,743.68 = 225,697.76/x
  3. Step 3: Cross multiply
    395,438.12x = 545,743.68 × 225,697.76
  4. Step 4: Simplify right side
    395,438.12x = 123,173,126,110.16
  5. Step 5: Solve for x
    x = 123,173,126,110.16/395,438.12
  6. Step 6: Final answer
    x = 311,485.21

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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.