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Finding the Fourth Proportional to 399,013.48, 598,620.46 and 114,704.54

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Solution

The fourth proportional to 399,013.48, 598,620.46 and 114,704.54 is: 172,085.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,013.48 : 598,620.46 = 114,704.54 : x
  2. Step 2: Convert to fraction form
    399,013.48/598,620.46 = 114,704.54/x
  3. Step 3: Cross multiply
    399,013.48x = 598,620.46 × 114,704.54
  4. Step 4: Simplify right side
    399,013.48x = 68,664,484,498.89
  5. Step 5: Solve for x
    x = 68,664,484,498.89/399,013.48
  6. Step 6: Final answer
    x = 172,085.63

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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.