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Finding the Fourth Proportional to 257,912.91, 386,846.43 and 89,429.47

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Solution

The fourth proportional to 257,912.91, 386,846.43 and 89,429.47 is: 134,136.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,912.91 : 386,846.43 = 89,429.47 : x
  2. Step 2: Convert to fraction form
    257,912.91/386,846.43 = 89,429.47/x
  3. Step 3: Cross multiply
    257,912.91x = 386,846.43 × 89,429.47
  4. Step 4: Simplify right side
    257,912.91x = 34,595,470,406.86
  5. Step 5: Solve for x
    x = 34,595,470,406.86/257,912.91
  6. Step 6: Final answer
    x = 134,136.25

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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.