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Finding the Fourth Proportional to 511,075.69, 705,299.03 and 284,735.77

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Solution

The fourth proportional to 511,075.69, 705,299.03 and 284,735.77 is: 392,943.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,075.69 : 705,299.03 = 284,735.77 : x
  2. Step 2: Convert to fraction form
    511,075.69/705,299.03 = 284,735.77/x
  3. Step 3: Cross multiply
    511,075.69x = 705,299.03 × 284,735.77
  4. Step 4: Simplify right side
    511,075.69x = 200,823,860,268.14
  5. Step 5: Solve for x
    x = 200,823,860,268.14/511,075.69
  6. Step 6: Final answer
    x = 392,943.48

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1.5x scale

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.