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Finding the Fourth Proportional to 329,606.72, 493,229.08 and 285,386.12

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Solution

The fourth proportional to 329,606.72, 493,229.08 and 285,386.12 is: 427,056.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,606.72 : 493,229.08 = 285,386.12 : x
  2. Step 2: Convert to fraction form
    329,606.72/493,229.08 = 285,386.12/x
  3. Step 3: Cross multiply
    329,606.72x = 493,229.08 × 285,386.12
  4. Step 4: Simplify right side
    329,606.72x = 140,760,733,412.37
  5. Step 5: Solve for x
    x = 140,760,733,412.37/329,606.72
  6. Step 6: Final answer
    x = 427,056.62

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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.