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Finding the Fourth Proportional to 358,291.38, 494,463.05 and 205,376.95

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Solution

The fourth proportional to 358,291.38, 494,463.05 and 205,376.95 is: 283,432.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,291.38 : 494,463.05 = 205,376.95 : x
  2. Step 2: Convert to fraction form
    358,291.38/494,463.05 = 205,376.95/x
  3. Step 3: Cross multiply
    358,291.38x = 494,463.05 × 205,376.95
  4. Step 4: Simplify right side
    358,291.38x = 101,551,313,458.06
  5. Step 5: Solve for x
    x = 101,551,313,458.06/358,291.38
  6. Step 6: Final answer
    x = 283,432.20

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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.