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Finding the Fourth Proportional to 329,538.72, 493,127.10 and 285,318.12

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Solution

The fourth proportional to 329,538.72, 493,127.10 and 285,318.12 is: 426,954.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,538.72 : 493,127.10 = 285,318.12 : x
  2. Step 2: Convert to fraction form
    329,538.72/493,127.10 = 285,318.12/x
  3. Step 3: Cross multiply
    329,538.72x = 493,127.10 × 285,318.12
  4. Step 4: Simplify right side
    329,538.72x = 140,698,097,093.05
  5. Step 5: Solve for x
    x = 140,698,097,093.05/329,538.72
  6. Step 6: Final answer
    x = 426,954.67

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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.