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Finding the Fourth Proportional to 511,014.36, 705,190.68 and 284,655

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Solution

The fourth proportional to 511,014.36, 705,190.68 and 284,655 is: 392,818.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,014.36 : 705,190.68 = 284,655 : x
  2. Step 2: Convert to fraction form
    511,014.36/705,190.68 = 284,655/x
  3. Step 3: Cross multiply
    511,014.36x = 705,190.68 × 284,655
  4. Step 4: Simplify right side
    511,014.36x = 200,736,053,015.40
  5. Step 5: Solve for x
    x = 200,736,053,015.40/511,014.36
  6. Step 6: Final answer
    x = 392,818.81

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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.