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Finding the Fourth Proportional to 289,861.74, 434,822.40 and 100,321.74

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Solution

The fourth proportional to 289,861.74, 434,822.40 and 100,321.74 is: 150,492.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,861.74 : 434,822.40 = 100,321.74 : x
  2. Step 2: Convert to fraction form
    289,861.74/434,822.40 = 100,321.74/x
  3. Step 3: Cross multiply
    289,861.74x = 434,822.40 × 100,321.74
  4. Step 4: Simplify right side
    289,861.74x = 43,622,139,758.98
  5. Step 5: Solve for x
    x = 43,622,139,758.98/289,861.74
  6. Step 6: Final answer
    x = 150,492.92

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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.