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Finding the Fourth Proportional to 462,121.30, 637,664.29 and 258,147

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Solution

The fourth proportional to 462,121.30, 637,664.29 and 258,147 is: 356,207.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,121.30 : 637,664.29 = 258,147 : x
  2. Step 2: Convert to fraction form
    462,121.30/637,664.29 = 258,147/x
  3. Step 3: Cross multiply
    462,121.30x = 637,664.29 × 258,147
  4. Step 4: Simplify right side
    462,121.30x = 164,611,123,470.63
  5. Step 5: Solve for x
    x = 164,611,123,470.63/462,121.30
  6. Step 6: Final answer
    x = 356,207.61

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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.