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Finding the Fourth Proportional to 329,705.70, 493,246.35 and 285,819.90

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Solution

The fourth proportional to 329,705.70, 493,246.35 and 285,819.90 is: 427,592.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,705.70 : 493,246.35 = 285,819.90 : x
  2. Step 2: Convert to fraction form
    329,705.70/493,246.35 = 285,819.90/x
  3. Step 3: Cross multiply
    329,705.70x = 493,246.35 × 285,819.90
  4. Step 4: Simplify right side
    329,705.70x = 140,979,622,432.37
  5. Step 5: Solve for x
    x = 140,979,622,432.37/329,705.70
  6. Step 6: Final answer
    x = 427,592.31

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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.