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Finding the Fourth Proportional to 389,458.76, 584,249.64 and 164,820.37

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Solution

The fourth proportional to 389,458.76, 584,249.64 and 164,820.37 is: 247,256.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,458.76 : 584,249.64 = 164,820.37 : x
  2. Step 2: Convert to fraction form
    389,458.76/584,249.64 = 164,820.37/x
  3. Step 3: Cross multiply
    389,458.76x = 584,249.64 × 164,820.37
  4. Step 4: Simplify right side
    389,458.76x = 96,296,240,685.58
  5. Step 5: Solve for x
    x = 96,296,240,685.58/389,458.76
  6. Step 6: Final answer
    x = 247,256.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.