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Finding the Fourth Proportional to 342,896.34, 514,157.02 and 272,272.64

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Solution

The fourth proportional to 342,896.34, 514,157.02 and 272,272.64 is: 408,260.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,896.34 : 514,157.02 = 272,272.64 : x
  2. Step 2: Convert to fraction form
    342,896.34/514,157.02 = 272,272.64/x
  3. Step 3: Cross multiply
    342,896.34x = 514,157.02 × 272,272.64
  4. Step 4: Simplify right side
    342,896.34x = 139,990,889,814.64
  5. Step 5: Solve for x
    x = 139,990,889,814.64/342,896.34
  6. Step 6: Final answer
    x = 408,260.09

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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.