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Finding the Fourth Proportional to 384,174.88, 530,162.01 and 212,093.12

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Solution

The fourth proportional to 384,174.88, 530,162.01 and 212,093.12 is: 292,688.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,174.88 : 530,162.01 = 212,093.12 : x
  2. Step 2: Convert to fraction form
    384,174.88/530,162.01 = 212,093.12/x
  3. Step 3: Cross multiply
    384,174.88x = 530,162.01 × 212,093.12
  4. Step 4: Simplify right side
    384,174.88x = 112,443,715,601.54
  5. Step 5: Solve for x
    x = 112,443,715,601.54/384,174.88
  6. Step 6: Final answer
    x = 292,688.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.