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Finding the Fourth Proportional to 395,638.92, 545,982.24 and 214,350.86

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Solution

The fourth proportional to 395,638.92, 545,982.24 and 214,350.86 is: 295,804.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,638.92 : 545,982.24 = 214,350.86 : x
  2. Step 2: Convert to fraction form
    395,638.92/545,982.24 = 214,350.86/x
  3. Step 3: Cross multiply
    395,638.92x = 545,982.24 × 214,350.86
  4. Step 4: Simplify right side
    395,638.92x = 117,031,762,688.73
  5. Step 5: Solve for x
    x = 117,031,762,688.73/395,638.92
  6. Step 6: Final answer
    x = 295,804.47

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1.5x scale

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.