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Finding the Fourth Proportional to 511,465.50, 705,822.44 and 285,111

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Solution

The fourth proportional to 511,465.50, 705,822.44 and 285,111 is: 393,453.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,465.50 : 705,822.44 = 285,111 : x
  2. Step 2: Convert to fraction form
    511,465.50/705,822.44 = 285,111/x
  3. Step 3: Cross multiply
    511,465.50x = 705,822.44 × 285,111
  4. Step 4: Simplify right side
    511,465.50x = 201,237,740,265.29
  5. Step 5: Solve for x
    x = 201,237,740,265.29/511,465.50
  6. Step 6: Final answer
    x = 393,453.21

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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.