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Finding the Fourth Proportional to 395,580.78, 545,999.13 and 225,913.32

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Solution

The fourth proportional to 395,580.78, 545,999.13 and 225,913.32 is: 311,816.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,580.78 : 545,999.13 = 225,913.32 : x
  2. Step 2: Convert to fraction form
    395,580.78/545,999.13 = 225,913.32/x
  3. Step 3: Cross multiply
    395,580.78x = 545,999.13 × 225,913.32
  4. Step 4: Simplify right side
    395,580.78x = 123,348,476,175.41
  5. Step 5: Solve for x
    x = 123,348,476,175.41/395,580.78
  6. Step 6: Final answer
    x = 311,816.15

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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.