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Finding the Fourth Proportional to 341,317.32, 511,917.66 and 91,941

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Solution

The fourth proportional to 341,317.32, 511,917.66 and 91,941 is: 137,895.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,317.32 : 511,917.66 = 91,941 : x
  2. Step 2: Convert to fraction form
    341,317.32/511,917.66 = 91,941/x
  3. Step 3: Cross multiply
    341,317.32x = 511,917.66 × 91,941
  4. Step 4: Simplify right side
    341,317.32x = 47,066,221,578.06
  5. Step 5: Solve for x
    x = 47,066,221,578.06/341,317.32
  6. Step 6: Final answer
    x = 137,895.79

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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.