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Finding the Fourth Proportional to 397,024, 547,893.12 and 218,176

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Solution

The fourth proportional to 397,024, 547,893.12 and 218,176 is: 301,082.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,024 : 547,893.12 = 218,176 : x
  2. Step 2: Convert to fraction form
    397,024/547,893.12 = 218,176/x
  3. Step 3: Cross multiply
    397,024x = 547,893.12 × 218,176
  4. Step 4: Simplify right side
    397,024x = 119,537,129,349.12
  5. Step 5: Solve for x
    x = 119,537,129,349.12/397,024
  6. Step 6: Final answer
    x = 301,082.88

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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.