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Finding the Fourth Proportional to 303,085.70, 455,612.70 and 214,949.60

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Solution

The fourth proportional to 303,085.70, 455,612.70 and 214,949.60 is: 323,122.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,085.70 : 455,612.70 = 214,949.60 : x
  2. Step 2: Convert to fraction form
    303,085.70/455,612.70 = 214,949.60/x
  3. Step 3: Cross multiply
    303,085.70x = 455,612.70 × 214,949.60
  4. Step 4: Simplify right side
    303,085.70x = 97,933,767,619.92
  5. Step 5: Solve for x
    x = 97,933,767,619.92/303,085.70
  6. Step 6: Final answer
    x = 323,122.36

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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.