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Finding the Fourth Proportional to 357,996.13, 493,911.72 and 221,981.11

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Solution

The fourth proportional to 357,996.13, 493,911.72 and 221,981.11 is: 306,257.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,996.13 : 493,911.72 = 221,981.11 : x
  2. Step 2: Convert to fraction form
    357,996.13/493,911.72 = 221,981.11/x
  3. Step 3: Cross multiply
    357,996.13x = 493,911.72 × 221,981.11
  4. Step 4: Simplify right side
    357,996.13x = 109,639,071,847.61
  5. Step 5: Solve for x
    x = 109,639,071,847.61/357,996.13
  6. Step 6: Final answer
    x = 306,257.70

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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.