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Finding the Fourth Proportional to 514,672.56, 771,745.56 and 215,071.36

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Solution

The fourth proportional to 514,672.56, 771,745.56 and 215,071.36 is: 322,497.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,672.56 : 771,745.56 = 215,071.36 : x
  2. Step 2: Convert to fraction form
    514,672.56/771,745.56 = 215,071.36/x
  3. Step 3: Cross multiply
    514,672.56x = 771,745.56 × 215,071.36
  4. Step 4: Simplify right side
    514,672.56x = 165,980,367,163.16
  5. Step 5: Solve for x
    x = 165,980,367,163.16/514,672.56
  6. Step 6: Final answer
    x = 322,497.02

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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.