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Finding the Fourth Proportional to 291,017.56, 401,601.90 and 163,705

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Solution

The fourth proportional to 291,017.56, 401,601.90 and 163,705 is: 225,911.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,017.56 : 401,601.90 = 163,705 : x
  2. Step 2: Convert to fraction form
    291,017.56/401,601.90 = 163,705/x
  3. Step 3: Cross multiply
    291,017.56x = 401,601.90 × 163,705
  4. Step 4: Simplify right side
    291,017.56x = 65,744,239,039.50
  5. Step 5: Solve for x
    x = 65,744,239,039.50/291,017.56
  6. Step 6: Final answer
    x = 225,911.59

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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.