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Finding the Fourth Proportional to 358,459, 494,615.52 and 205,469.02

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Solution

The fourth proportional to 358,459, 494,615.52 and 205,469.02 is: 283,514.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,459 : 494,615.52 = 205,469.02 : x
  2. Step 2: Convert to fraction form
    358,459/494,615.52 = 205,469.02/x
  3. Step 3: Cross multiply
    358,459x = 494,615.52 × 205,469.02
  4. Step 4: Simplify right side
    358,459x = 101,628,166,171.19
  5. Step 5: Solve for x
    x = 101,628,166,171.19/358,459
  6. Step 6: Final answer
    x = 283,514.06

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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.