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Finding the Fourth Proportional to 220,849, 304,778.16 and 120,253.48

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Solution

The fourth proportional to 220,849, 304,778.16 and 120,253.48 is: 165,953.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,849 : 304,778.16 = 120,253.48 : x
  2. Step 2: Convert to fraction form
    220,849/304,778.16 = 120,253.48/x
  3. Step 3: Cross multiply
    220,849x = 304,778.16 × 120,253.48
  4. Step 4: Simplify right side
    220,849x = 36,650,634,368.00
  5. Step 5: Solve for x
    x = 36,650,634,368.00/220,849
  6. Step 6: Final answer
    x = 165,953.36

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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.