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Finding the Fourth Proportional to 362,431.80, 543,647.70 and 287,782.20

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Solution

The fourth proportional to 362,431.80, 543,647.70 and 287,782.20 is: 431,673.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,431.80 : 543,647.70 = 287,782.20 : x
  2. Step 2: Convert to fraction form
    362,431.80/543,647.70 = 287,782.20/x
  3. Step 3: Cross multiply
    362,431.80x = 543,647.70 × 287,782.20
  4. Step 4: Simplify right side
    362,431.80x = 156,452,131,130.94
  5. Step 5: Solve for x
    x = 156,452,131,130.94/362,431.80
  6. Step 6: Final answer
    x = 431,673.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.