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Finding the Fourth Proportional to 395,607.78, 545,938.00 and 214,324.22

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Solution

The fourth proportional to 395,607.78, 545,938.00 and 214,324.22 is: 295,767.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,607.78 : 545,938.00 = 214,324.22 : x
  2. Step 2: Convert to fraction form
    395,607.78/545,938.00 = 214,324.22/x
  3. Step 3: Cross multiply
    395,607.78x = 545,938.00 × 214,324.22
  4. Step 4: Simplify right side
    395,607.78x = 117,007,736,847.39
  5. Step 5: Solve for x
    x = 117,007,736,847.39/395,607.78
  6. Step 6: Final answer
    x = 295,767.03

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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.