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Finding the Fourth Proportional to 305,234.98, 457,790.13 and 115,629.98

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Solution

The fourth proportional to 305,234.98, 457,790.13 and 115,629.98 is: 173,421.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,234.98 : 457,790.13 = 115,629.98 : x
  2. Step 2: Convert to fraction form
    305,234.98/457,790.13 = 115,629.98/x
  3. Step 3: Cross multiply
    305,234.98x = 457,790.13 × 115,629.98
  4. Step 4: Simplify right side
    305,234.98x = 52,934,263,576.10
  5. Step 5: Solve for x
    x = 52,934,263,576.10/305,234.98
  6. Step 6: Final answer
    x = 173,421.35

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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.