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Finding the Fourth Proportional to 205,408.40, 307,675.20 and 166,042.40

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Solution

The fourth proportional to 205,408.40, 307,675.20 and 166,042.40 is: 248,710.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,408.40 : 307,675.20 = 166,042.40 : x
  2. Step 2: Convert to fraction form
    205,408.40/307,675.20 = 166,042.40/x
  3. Step 3: Cross multiply
    205,408.40x = 307,675.20 × 166,042.40
  4. Step 4: Simplify right side
    205,408.40x = 51,087,128,628.48
  5. Step 5: Solve for x
    x = 51,087,128,628.48/205,408.40
  6. Step 6: Final answer
    x = 248,710.03

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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.