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Finding the Fourth Proportional to 395,612.67, 545,945.72 and 214,325.87

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Solution

The fourth proportional to 395,612.67, 545,945.72 and 214,325.87 is: 295,769.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,612.67 : 545,945.72 = 214,325.87 : x
  2. Step 2: Convert to fraction form
    395,612.67/545,945.72 = 214,325.87/x
  3. Step 3: Cross multiply
    395,612.67x = 545,945.72 × 214,325.87
  4. Step 4: Simplify right side
    395,612.67x = 117,010,291,411.78
  5. Step 5: Solve for x
    x = 117,010,291,411.78/395,612.67
  6. Step 6: Final answer
    x = 295,769.83

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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.