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Finding the Fourth Proportional to 395,077.64, 545,216.47 and 225,308.12

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Solution

The fourth proportional to 395,077.64, 545,216.47 and 225,308.12 is: 310,930.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,077.64 : 545,216.47 = 225,308.12 : x
  2. Step 2: Convert to fraction form
    395,077.64/545,216.47 = 225,308.12/x
  3. Step 3: Cross multiply
    395,077.64x = 545,216.47 × 225,308.12
  4. Step 4: Simplify right side
    395,077.64x = 122,841,694,559.38
  5. Step 5: Solve for x
    x = 122,841,694,559.38/395,077.64
  6. Step 6: Final answer
    x = 310,930.52

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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.