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Finding the Fourth Proportional to 286,036.98, 394,803.59 and 195,429.56

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Solution

The fourth proportional to 286,036.98, 394,803.59 and 195,429.56 is: 269,742.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,036.98 : 394,803.59 = 195,429.56 : x
  2. Step 2: Convert to fraction form
    286,036.98/394,803.59 = 195,429.56/x
  3. Step 3: Cross multiply
    286,036.98x = 394,803.59 × 195,429.56
  4. Step 4: Simplify right side
    286,036.98x = 77,156,291,880.12
  5. Step 5: Solve for x
    x = 77,156,291,880.12/286,036.98
  6. Step 6: Final answer
    x = 269,742.37

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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.