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Finding the Fourth Proportional to 253,443.78, 379,829.39 and 211,406.22

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Solution

The fourth proportional to 253,443.78, 379,829.39 and 211,406.22 is: 316,828.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,443.78 : 379,829.39 = 211,406.22 : x
  2. Step 2: Convert to fraction form
    253,443.78/379,829.39 = 211,406.22/x
  3. Step 3: Cross multiply
    253,443.78x = 379,829.39 × 211,406.22
  4. Step 4: Simplify right side
    253,443.78x = 80,298,294,527.77
  5. Step 5: Solve for x
    x = 80,298,294,527.77/253,443.78
  6. Step 6: Final answer
    x = 316,828.82

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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.