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Finding the Fourth Proportional to 220,778, 304,673.68 and 120,176

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Solution

The fourth proportional to 220,778, 304,673.68 and 120,176 is: 165,842.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,778 : 304,673.68 = 120,176 : x
  2. Step 2: Convert to fraction form
    220,778/304,673.68 = 120,176/x
  3. Step 3: Cross multiply
    220,778x = 304,673.68 × 120,176
  4. Step 4: Simplify right side
    220,778x = 36,614,464,167.68
  5. Step 5: Solve for x
    x = 36,614,464,167.68/220,778
  6. Step 6: Final answer
    x = 165,842.90

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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.