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Finding the Fourth Proportional to 305,480.76, 458,556.34 and 242,704.41

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Solution

The fourth proportional to 305,480.76, 458,556.34 and 242,704.41 is: 364,322.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,480.76 : 458,556.34 = 242,704.41 : x
  2. Step 2: Convert to fraction form
    305,480.76/458,556.34 = 242,704.41/x
  3. Step 3: Cross multiply
    305,480.76x = 458,556.34 × 242,704.41
  4. Step 4: Simplify right side
    305,480.76x = 111,293,645,951.46
  5. Step 5: Solve for x
    x = 111,293,645,951.46/305,480.76
  6. Step 6: Final answer
    x = 364,322.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.