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Finding the Fourth Proportional to 291,228.76, 401,908.62 and 163,912.60

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Solution

The fourth proportional to 291,228.76, 401,908.62 and 163,912.60 is: 226,206.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,228.76 : 401,908.62 = 163,912.60 : x
  2. Step 2: Convert to fraction form
    291,228.76/401,908.62 = 163,912.60/x
  3. Step 3: Cross multiply
    291,228.76x = 401,908.62 × 163,912.60
  4. Step 4: Simplify right side
    291,228.76x = 65,877,886,866.61
  5. Step 5: Solve for x
    x = 65,877,886,866.61/291,228.76
  6. Step 6: Final answer
    x = 226,206.67

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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.