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Finding the Fourth Proportional to 289,262.60, 433,764.30 and 131,409.80

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Solution

The fourth proportional to 289,262.60, 433,764.30 and 131,409.80 is: 197,055.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,262.60 : 433,764.30 = 131,409.80 : x
  2. Step 2: Convert to fraction form
    289,262.60/433,764.30 = 131,409.80/x
  3. Step 3: Cross multiply
    289,262.60x = 433,764.30 × 131,409.80
  4. Step 4: Simplify right side
    289,262.60x = 57,000,879,910.14
  5. Step 5: Solve for x
    x = 57,000,879,910.14/289,262.60
  6. Step 6: Final answer
    x = 197,055.82

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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.