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Finding the Fourth Proportional to 305,541.98, 458,339.64 and 125,638.36

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Solution

The fourth proportional to 305,541.98, 458,339.64 and 125,638.36 is: 188,468.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,541.98 : 458,339.64 = 125,638.36 : x
  2. Step 2: Convert to fraction form
    305,541.98/458,339.64 = 125,638.36/x
  3. Step 3: Cross multiply
    305,541.98x = 458,339.64 × 125,638.36
  4. Step 4: Simplify right side
    305,541.98x = 57,585,040,692.59
  5. Step 5: Solve for x
    x = 57,585,040,692.59/305,541.98
  6. Step 6: Final answer
    x = 188,468.51

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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.