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Finding the Fourth Proportional to 212,891, 318,698.94 and 205,320.68

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Solution

The fourth proportional to 212,891, 318,698.94 and 205,320.68 is: 307,366.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,891 : 318,698.94 = 205,320.68 : x
  2. Step 2: Convert to fraction form
    212,891/318,698.94 = 205,320.68/x
  3. Step 3: Cross multiply
    212,891x = 318,698.94 × 205,320.68
  4. Step 4: Simplify right side
    212,891x = 65,435,483,076.08
  5. Step 5: Solve for x
    x = 65,435,483,076.08/212,891
  6. Step 6: Final answer
    x = 307,366.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.