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Finding the Fourth Proportional to 358,455, 494,610 and 205,465.02

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Solution

The fourth proportional to 358,455, 494,610 and 205,465.02 is: 283,508.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,455 : 494,610 = 205,465.02 : x
  2. Step 2: Convert to fraction form
    358,455/494,610 = 205,465.02/x
  3. Step 3: Cross multiply
    358,455x = 494,610 × 205,465.02
  4. Step 4: Simplify right side
    358,455x = 101,625,053,542.20
  5. Step 5: Solve for x
    x = 101,625,053,542.20/358,455
  6. Step 6: Final answer
    x = 283,508.54

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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.