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Finding the Fourth Proportional to 395,632.50, 545,972.97 and 214,345.68

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Solution

The fourth proportional to 395,632.50, 545,972.97 and 214,345.68 is: 295,797.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,632.50 : 545,972.97 = 214,345.68 : x
  2. Step 2: Convert to fraction form
    395,632.50/545,972.97 = 214,345.68/x
  3. Step 3: Cross multiply
    395,632.50x = 545,972.97 × 214,345.68
  4. Step 4: Simplify right side
    395,632.50x = 117,026,947,516.27
  5. Step 5: Solve for x
    x = 117,026,947,516.27/395,632.50
  6. Step 6: Final answer
    x = 295,797.10

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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.