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Finding the Fourth Proportional to 289,794.51, 399,714.35 and 280,040.49

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Solution

The fourth proportional to 289,794.51, 399,714.35 and 280,040.49 is: 386,260.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,794.51 : 399,714.35 = 280,040.49 : x
  2. Step 2: Convert to fraction form
    289,794.51/399,714.35 = 280,040.49/x
  3. Step 3: Cross multiply
    289,794.51x = 399,714.35 × 280,040.49
  4. Step 4: Simplify right side
    289,794.51x = 111,936,201,033.83
  5. Step 5: Solve for x
    x = 111,936,201,033.83/289,794.51
  6. Step 6: Final answer
    x = 386,260.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.