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Finding the Fourth Proportional to 399,084.80, 599,318.40 and 386,643.20

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Solution

The fourth proportional to 399,084.80, 599,318.40 and 386,643.20 is: 580,634.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,084.80 : 599,318.40 = 386,643.20 : x
  2. Step 2: Convert to fraction form
    399,084.80/599,318.40 = 386,643.20/x
  3. Step 3: Cross multiply
    399,084.80x = 599,318.40 × 386,643.20
  4. Step 4: Simplify right side
    399,084.80x = 231,722,383,994.88
  5. Step 5: Solve for x
    x = 231,722,383,994.88/399,084.80
  6. Step 6: Final answer
    x = 580,634.45

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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.