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Finding the Fourth Proportional to 402,380.10, 603,351.45 and 165,746.70

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Solution

The fourth proportional to 402,380.10, 603,351.45 and 165,746.70 is: 248,529.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,380.10 : 603,351.45 = 165,746.70 : x
  2. Step 2: Convert to fraction form
    402,380.10/603,351.45 = 165,746.70/x
  3. Step 3: Cross multiply
    402,380.10x = 603,351.45 × 165,746.70
  4. Step 4: Simplify right side
    402,380.10x = 100,003,511,777.72
  5. Step 5: Solve for x
    x = 100,003,511,777.72/402,380.10
  6. Step 6: Final answer
    x = 248,529.96

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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.