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Finding the Fourth Proportional to 291,123.87, 401,803.84 and 170,257.95

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Solution

The fourth proportional to 291,123.87, 401,803.84 and 170,257.95 is: 234,986.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,123.87 : 401,803.84 = 170,257.95 : x
  2. Step 2: Convert to fraction form
    291,123.87/401,803.84 = 170,257.95/x
  3. Step 3: Cross multiply
    291,123.87x = 401,803.84 × 170,257.95
  4. Step 4: Simplify right side
    291,123.87x = 68,410,298,313.35
  5. Step 5: Solve for x
    x = 68,410,298,313.35/291,123.87
  6. Step 6: Final answer
    x = 234,986.91

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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.