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Finding the Fourth Proportional to 263,644.20, 363,825.90 and 142,783.20

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Solution

The fourth proportional to 263,644.20, 363,825.90 and 142,783.20 is: 197,039.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,644.20 : 363,825.90 = 142,783.20 : x
  2. Step 2: Convert to fraction form
    263,644.20/363,825.90 = 142,783.20/x
  3. Step 3: Cross multiply
    263,644.20x = 363,825.90 × 142,783.20
  4. Step 4: Simplify right side
    263,644.20x = 51,948,226,244.88
  5. Step 5: Solve for x
    x = 51,948,226,244.88/263,644.20
  6. Step 6: Final answer
    x = 197,039.14

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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.