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Finding the Fourth Proportional to 357,996.29, 493,911.95 and 221,981.29

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Solution

The fourth proportional to 357,996.29, 493,911.95 and 221,981.29 is: 306,257.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,996.29 : 493,911.95 = 221,981.29 : x
  2. Step 2: Convert to fraction form
    357,996.29/493,911.95 = 221,981.29/x
  3. Step 3: Cross multiply
    357,996.29x = 493,911.95 × 221,981.29
  4. Step 4: Simplify right side
    357,996.29x = 109,639,212,240.98
  5. Step 5: Solve for x
    x = 109,639,212,240.98/357,996.29
  6. Step 6: Final answer
    x = 306,257.96

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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.