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Finding the Fourth Proportional to 303,930.30, 455,895.45 and 82,314.30

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Solution

The fourth proportional to 303,930.30, 455,895.45 and 82,314.30 is: 123,471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,930.30 : 455,895.45 = 82,314.30 : x
  2. Step 2: Convert to fraction form
    303,930.30/455,895.45 = 82,314.30/x
  3. Step 3: Cross multiply
    303,930.30x = 455,895.45 × 82,314.30
  4. Step 4: Simplify right side
    303,930.30x = 37,526,714,839.94
  5. Step 5: Solve for x
    x = 37,526,714,839.94/303,930.30
  6. Step 6: Final answer
    x = 123,471.45

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1.5x scale

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.