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Finding the Fourth Proportional to 393,907.54, 543,585.45 and 224,138.02

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Solution

The fourth proportional to 393,907.54, 543,585.45 and 224,138.02 is: 309,306.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,907.54 : 543,585.45 = 224,138.02 : x
  2. Step 2: Convert to fraction form
    393,907.54/543,585.45 = 224,138.02/x
  3. Step 3: Cross multiply
    393,907.54x = 543,585.45 × 224,138.02
  4. Step 4: Simplify right side
    393,907.54x = 121,838,166,463.81
  5. Step 5: Solve for x
    x = 121,838,166,463.81/393,907.54
  6. Step 6: Final answer
    x = 309,306.51

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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.