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Finding the Fourth Proportional to 331,345, 457,299.30 and 197,209

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Solution

The fourth proportional to 331,345, 457,299.30 and 197,209 is: 272,174.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,345 : 457,299.30 = 197,209 : x
  2. Step 2: Convert to fraction form
    331,345/457,299.30 = 197,209/x
  3. Step 3: Cross multiply
    331,345x = 457,299.30 × 197,209
  4. Step 4: Simplify right side
    331,345x = 90,183,537,653.70
  5. Step 5: Solve for x
    x = 90,183,537,653.70/331,345
  6. Step 6: Final answer
    x = 272,174.13

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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.