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Finding the Fourth Proportional to 288,951.50, 433,513.11 and 139,148.48

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Solution

The fourth proportional to 288,951.50, 433,513.11 and 139,148.48 is: 208,764.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,951.50 : 433,513.11 = 139,148.48 : x
  2. Step 2: Convert to fraction form
    288,951.50/433,513.11 = 139,148.48/x
  3. Step 3: Cross multiply
    288,951.50x = 433,513.11 × 139,148.48
  4. Step 4: Simplify right side
    288,951.50x = 60,322,691,922.16
  5. Step 5: Solve for x
    x = 60,322,691,922.16/288,951.50
  6. Step 6: Final answer
    x = 208,764.07

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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.