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Finding the Fourth Proportional to 358,140.85, 494,304.49 and 205,281.43

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Solution

The fourth proportional to 358,140.85, 494,304.49 and 205,281.43 is: 283,328.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,140.85 : 494,304.49 = 205,281.43 : x
  2. Step 2: Convert to fraction form
    358,140.85/494,304.49 = 205,281.43/x
  3. Step 3: Cross multiply
    358,140.85x = 494,304.49 × 205,281.43
  4. Step 4: Simplify right side
    358,140.85x = 101,471,532,562.62
  5. Step 5: Solve for x
    x = 101,471,532,562.62/358,140.85
  6. Step 6: Final answer
    x = 283,328.56

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1.5x scale

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.