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Finding the Fourth Proportional to 399,338.64, 599,721.84 and 383,284.80

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Solution

The fourth proportional to 399,338.64, 599,721.84 and 383,284.80 is: 575,612.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,338.64 : 599,721.84 = 383,284.80 : x
  2. Step 2: Convert to fraction form
    399,338.64/599,721.84 = 383,284.80/x
  3. Step 3: Cross multiply
    399,338.64x = 599,721.84 × 383,284.80
  4. Step 4: Simplify right side
    399,338.64x = 229,864,265,500.03
  5. Step 5: Solve for x
    x = 229,864,265,500.03/399,338.64
  6. Step 6: Final answer
    x = 575,612.38

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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.