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Finding the Fourth Proportional to 331,383.80, 497,075.70 and 280,062.20

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Solution

The fourth proportional to 331,383.80, 497,075.70 and 280,062.20 is: 420,093.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,383.80 : 497,075.70 = 280,062.20 : x
  2. Step 2: Convert to fraction form
    331,383.80/497,075.70 = 280,062.20/x
  3. Step 3: Cross multiply
    331,383.80x = 497,075.70 × 280,062.20
  4. Step 4: Simplify right side
    331,383.80x = 139,212,114,108.54
  5. Step 5: Solve for x
    x = 139,212,114,108.54/331,383.80
  6. Step 6: Final answer
    x = 420,093.30

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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.