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Finding the Fourth Proportional to 393,865.61, 543,537.81 and 224,110.67

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Solution

The fourth proportional to 393,865.61, 543,537.81 and 224,110.67 is: 309,274.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,865.61 : 543,537.81 = 224,110.67 : x
  2. Step 2: Convert to fraction form
    393,865.61/543,537.81 = 224,110.67/x
  3. Step 3: Cross multiply
    393,865.61x = 543,537.81 × 224,110.67
  4. Step 4: Simplify right side
    393,865.61x = 121,812,620,051.74
  5. Step 5: Solve for x
    x = 121,812,620,051.74/393,865.61
  6. Step 6: Final answer
    x = 309,274.58

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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.