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Finding the Fourth Proportional to 263,757.83, 363,985.31 and 142,902.11

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Solution

The fourth proportional to 263,757.83, 363,985.31 and 142,902.11 is: 197,204.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,757.83 : 363,985.31 = 142,902.11 : x
  2. Step 2: Convert to fraction form
    263,757.83/363,985.31 = 142,902.11/x
  3. Step 3: Cross multiply
    263,757.83x = 363,985.31 × 142,902.11
  4. Step 4: Simplify right side
    263,757.83x = 52,014,270,075.22
  5. Step 5: Solve for x
    x = 52,014,270,075.22/263,757.83
  6. Step 6: Final answer
    x = 197,204.65

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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.