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Finding the Fourth Proportional to 354,320.21, 488,964.76 and 193,176.44

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Solution

The fourth proportional to 354,320.21, 488,964.76 and 193,176.44 is: 266,585.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,320.21 : 488,964.76 = 193,176.44 : x
  2. Step 2: Convert to fraction form
    354,320.21/488,964.76 = 193,176.44/x
  3. Step 3: Cross multiply
    354,320.21x = 488,964.76 × 193,176.44
  4. Step 4: Simplify right side
    354,320.21x = 94,456,468,694.49
  5. Step 5: Solve for x
    x = 94,456,468,694.49/354,320.21
  6. Step 6: Final answer
    x = 266,585.04

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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.