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Finding the Fourth Proportional to 291,107.34, 401,724.02 and 163,782.63

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Solution

The fourth proportional to 291,107.34, 401,724.02 and 163,782.63 is: 226,017.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,107.34 : 401,724.02 = 163,782.63 : x
  2. Step 2: Convert to fraction form
    291,107.34/401,724.02 = 163,782.63/x
  3. Step 3: Cross multiply
    291,107.34x = 401,724.02 × 163,782.63
  4. Step 4: Simplify right side
    291,107.34x = 65,795,417,147.80
  5. Step 5: Solve for x
    x = 65,795,417,147.80/291,107.34
  6. Step 6: Final answer
    x = 226,017.72

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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.