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Finding the Fourth Proportional to 357,344.87, 493,366.70 and 221,523.96

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Solution

The fourth proportional to 357,344.87, 493,366.70 and 221,523.96 is: 305,846.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,344.87 : 493,366.70 = 221,523.96 : x
  2. Step 2: Convert to fraction form
    357,344.87/493,366.70 = 221,523.96/x
  3. Step 3: Cross multiply
    357,344.87x = 493,366.70 × 221,523.96
  4. Step 4: Simplify right side
    357,344.87x = 109,292,546,274.00
  5. Step 5: Solve for x
    x = 109,292,546,274.00/357,344.87
  6. Step 6: Final answer
    x = 305,846.14

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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.