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Finding the Fourth Proportional to 291,059.64, 401,658.48 and 163,735.20

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Solution

The fourth proportional to 291,059.64, 401,658.48 and 163,735.20 is: 225,952.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,059.64 : 401,658.48 = 163,735.20 : x
  2. Step 2: Convert to fraction form
    291,059.64/401,658.48 = 163,735.20/x
  3. Step 3: Cross multiply
    291,059.64x = 401,658.48 × 163,735.20
  4. Step 4: Simplify right side
    291,059.64x = 65,765,631,554.50
  5. Step 5: Solve for x
    x = 65,765,631,554.50/291,059.64
  6. Step 6: Final answer
    x = 225,952.43

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1.5x scale

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.