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Finding the Fourth Proportional to 220,978.46, 304,952.28 and 133,765.56

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Solution

The fourth proportional to 220,978.46, 304,952.28 and 133,765.56 is: 184,597.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,978.46 : 304,952.28 = 133,765.56 : x
  2. Step 2: Convert to fraction form
    220,978.46/304,952.28 = 133,765.56/x
  3. Step 3: Cross multiply
    220,978.46x = 304,952.28 × 133,765.56
  4. Step 4: Simplify right side
    220,978.46x = 40,792,111,838.65
  5. Step 5: Solve for x
    x = 40,792,111,838.65/220,978.46
  6. Step 6: Final answer
    x = 184,597.69

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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.