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Finding the Fourth Proportional to 395,597.16, 545,979.78 and 225,841.32

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Solution

The fourth proportional to 395,597.16, 545,979.78 and 225,841.32 is: 311,692.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,597.16 : 545,979.78 = 225,841.32 : x
  2. Step 2: Convert to fraction form
    395,597.16/545,979.78 = 225,841.32/x
  3. Step 3: Cross multiply
    395,597.16x = 545,979.78 × 225,841.32
  4. Step 4: Simplify right side
    395,597.16x = 123,304,794,208.51
  5. Step 5: Solve for x
    x = 123,304,794,208.51/395,597.16
  6. Step 6: Final answer
    x = 311,692.82

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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.