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Finding the Fourth Proportional to 358,050.54, 494,109.12 and 205,138.20

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Solution

The fourth proportional to 358,050.54, 494,109.12 and 205,138.20 is: 283,090.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,050.54 : 494,109.12 = 205,138.20 : x
  2. Step 2: Convert to fraction form
    358,050.54/494,109.12 = 205,138.20/x
  3. Step 3: Cross multiply
    358,050.54x = 494,109.12 × 205,138.20
  4. Step 4: Simplify right side
    358,050.54x = 101,360,655,480.38
  5. Step 5: Solve for x
    x = 101,360,655,480.38/358,050.54
  6. Step 6: Final answer
    x = 283,090.36

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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.