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Finding the Fourth Proportional to 220,835.40, 304,752.88 and 120,233.40

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Solution

The fourth proportional to 220,835.40, 304,752.88 and 120,233.40 is: 165,922.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,835.40 : 304,752.88 = 120,233.40 : x
  2. Step 2: Convert to fraction form
    220,835.40/304,752.88 = 120,233.40/x
  3. Step 3: Cross multiply
    220,835.40x = 304,752.88 × 120,233.40
  4. Step 4: Simplify right side
    220,835.40x = 36,641,474,922.19
  5. Step 5: Solve for x
    x = 36,641,474,922.19/220,835.40
  6. Step 6: Final answer
    x = 165,922.11

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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.