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Finding the Fourth Proportional to 358,216.94, 494,410.04 and 205,357.78

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Solution

The fourth proportional to 358,216.94, 494,410.04 and 205,357.78 is: 283,434.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,216.94 : 494,410.04 = 205,357.78 : x
  2. Step 2: Convert to fraction form
    358,216.94/494,410.04 = 205,357.78/x
  3. Step 3: Cross multiply
    358,216.94x = 494,410.04 × 205,357.78
  4. Step 4: Simplify right side
    358,216.94x = 101,530,948,224.11
  5. Step 5: Solve for x
    x = 101,530,948,224.11/358,216.94
  6. Step 6: Final answer
    x = 283,434.25

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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.