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Finding the Fourth Proportional to 305,261.39, 457,804.49 and 102,835.52

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Solution

The fourth proportional to 305,261.39, 457,804.49 and 102,835.52 is: 154,223.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,261.39 : 457,804.49 = 102,835.52 : x
  2. Step 2: Convert to fraction form
    305,261.39/457,804.49 = 102,835.52/x
  3. Step 3: Cross multiply
    305,261.39x = 457,804.49 × 102,835.52
  4. Step 4: Simplify right side
    305,261.39x = 47,078,560,755.55
  5. Step 5: Solve for x
    x = 47,078,560,755.55/305,261.39
  6. Step 6: Final answer
    x = 154,223.77

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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.