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Finding the Fourth Proportional to 395,443.68, 545,712.78 and 214,155.90

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Solution

The fourth proportional to 395,443.68, 545,712.78 and 214,155.90 is: 295,535.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,443.68 : 545,712.78 = 214,155.90 : x
  2. Step 2: Convert to fraction form
    395,443.68/545,712.78 = 214,155.90/x
  3. Step 3: Cross multiply
    395,443.68x = 545,712.78 × 214,155.90
  4. Step 4: Simplify right side
    395,443.68x = 116,867,611,542.40
  5. Step 5: Solve for x
    x = 116,867,611,542.40/395,443.68
  6. Step 6: Final answer
    x = 295,535.41

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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.