Home / 205,380.34-283,427.04-120,498.82

Finding the Fourth Proportional to 205,380.34, 283,427.04 and 120,498.82

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Solution

The fourth proportional to 205,380.34, 283,427.04 and 120,498.82 is: 166,289.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,380.34 : 283,427.04 = 120,498.82 : x
  2. Step 2: Convert to fraction form
    205,380.34/283,427.04 = 120,498.82/x
  3. Step 3: Cross multiply
    205,380.34x = 283,427.04 × 120,498.82
  4. Step 4: Simplify right side
    205,380.34x = 34,152,623,876.09
  5. Step 5: Solve for x
    x = 34,152,623,876.09/205,380.34
  6. Step 6: Final answer
    x = 166,289.65

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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.