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Finding the Fourth Proportional to 220,946, 304,911.96 and 120,350.48

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Solution

The fourth proportional to 220,946, 304,911.96 and 120,350.48 is: 166,087.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,946 : 304,911.96 = 120,350.48 : x
  2. Step 2: Convert to fraction form
    220,946/304,911.96 = 120,350.48/x
  3. Step 3: Cross multiply
    220,946x = 304,911.96 × 120,350.48
  4. Step 4: Simplify right side
    220,946x = 36,696,300,743.74
  5. Step 5: Solve for x
    x = 36,696,300,743.74/220,946
  6. Step 6: Final answer
    x = 166,087.19

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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.