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Finding the Fourth Proportional to 382,978.80, 573,107.40 and 333,601.20

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Solution

The fourth proportional to 382,978.80, 573,107.40 and 333,601.20 is: 499,216.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,978.80 : 573,107.40 = 333,601.20 : x
  2. Step 2: Convert to fraction form
    382,978.80/573,107.40 = 333,601.20/x
  3. Step 3: Cross multiply
    382,978.80x = 573,107.40 × 333,601.20
  4. Step 4: Simplify right side
    382,978.80x = 191,189,316,368.88
  5. Step 5: Solve for x
    x = 191,189,316,368.88/382,978.80
  6. Step 6: Final answer
    x = 499,216.45

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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.