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Finding the Fourth Proportional to 511,465, 705,821.75 and 285,110.50

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Solution

The fourth proportional to 511,465, 705,821.75 and 285,110.50 is: 393,452.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,465 : 705,821.75 = 285,110.50 : x
  2. Step 2: Convert to fraction form
    511,465/705,821.75 = 285,110.50/x
  3. Step 3: Cross multiply
    511,465x = 705,821.75 × 285,110.50
  4. Step 4: Simplify right side
    511,465x = 201,237,190,627.82
  5. Step 5: Solve for x
    x = 201,237,190,627.82/511,465
  6. Step 6: Final answer
    x = 393,452.52

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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.