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Finding the Fourth Proportional to 409,586.56, 614,462.40 and 172,928.64

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Solution

The fourth proportional to 409,586.56, 614,462.40 and 172,928.64 is: 259,427.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,586.56 : 614,462.40 = 172,928.64 : x
  2. Step 2: Convert to fraction form
    409,586.56/614,462.40 = 172,928.64/x
  3. Step 3: Cross multiply
    409,586.56x = 614,462.40 × 172,928.64
  4. Step 4: Simplify right side
    409,586.56x = 106,258,147,163.14
  5. Step 5: Solve for x
    x = 106,258,147,163.14/409,586.56
  6. Step 6: Final answer
    x = 259,427.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.