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Finding the Fourth Proportional to 253,164, 379,497.60 and 140,898

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Solution

The fourth proportional to 253,164, 379,497.60 and 140,898 is: 211,208.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,164 : 379,497.60 = 140,898 : x
  2. Step 2: Convert to fraction form
    253,164/379,497.60 = 140,898/x
  3. Step 3: Cross multiply
    253,164x = 379,497.60 × 140,898
  4. Step 4: Simplify right side
    253,164x = 53,470,452,844.80
  5. Step 5: Solve for x
    x = 53,470,452,844.80/253,164
  6. Step 6: Final answer
    x = 211,208.75

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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.