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Finding the Fourth Proportional to 280,432.33, 420,703.94 and 102,940.88

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Solution

The fourth proportional to 280,432.33, 420,703.94 and 102,940.88 is: 154,431.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,432.33 : 420,703.94 = 102,940.88 : x
  2. Step 2: Convert to fraction form
    280,432.33/420,703.94 = 102,940.88/x
  3. Step 3: Cross multiply
    280,432.33x = 420,703.94 × 102,940.88
  4. Step 4: Simplify right side
    280,432.33x = 43,307,631,956.90
  5. Step 5: Solve for x
    x = 43,307,631,956.90/280,432.33
  6. Step 6: Final answer
    x = 154,431.67

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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.