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Finding the Fourth Proportional to 382,020.80, 573,643.20 and 303,785.60

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Solution

The fourth proportional to 382,020.80, 573,643.20 and 303,785.60 is: 456,165.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,020.80 : 573,643.20 = 303,785.60 : x
  2. Step 2: Convert to fraction form
    382,020.80/573,643.20 = 303,785.60/x
  3. Step 3: Cross multiply
    382,020.80x = 573,643.20 × 303,785.60
  4. Step 4: Simplify right side
    382,020.80x = 174,264,543,697.92
  5. Step 5: Solve for x
    x = 174,264,543,697.92/382,020.80
  6. Step 6: Final answer
    x = 456,165.07

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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.