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Finding the Fourth Proportional to 288,950.94, 433,512.27 and 139,147.92

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Solution

The fourth proportional to 288,950.94, 433,512.27 and 139,147.92 is: 208,763.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,950.94 : 433,512.27 = 139,147.92 : x
  2. Step 2: Convert to fraction form
    288,950.94/433,512.27 = 139,147.92/x
  3. Step 3: Cross multiply
    288,950.94x = 433,512.27 × 139,147.92
  4. Step 4: Simplify right side
    288,950.94x = 60,322,330,664.98
  5. Step 5: Solve for x
    x = 60,322,330,664.98/288,950.94
  6. Step 6: Final answer
    x = 208,763.23

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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.