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Finding the Fourth Proportional to 356,849, 492,451.62 and 197,873

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Solution

The fourth proportional to 356,849, 492,451.62 and 197,873 is: 273,064.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,849 : 492,451.62 = 197,873 : x
  2. Step 2: Convert to fraction form
    356,849/492,451.62 = 197,873/x
  3. Step 3: Cross multiply
    356,849x = 492,451.62 × 197,873
  4. Step 4: Simplify right side
    356,849x = 97,442,879,404.26
  5. Step 5: Solve for x
    x = 97,442,879,404.26/356,849
  6. Step 6: Final answer
    x = 273,064.74

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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.