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Finding the Fourth Proportional to 263,580, 363,739.86 and 142,721.26

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Solution

The fourth proportional to 263,580, 363,739.86 and 142,721.26 is: 196,955.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,580 : 363,739.86 = 142,721.26 : x
  2. Step 2: Convert to fraction form
    263,580/363,739.86 = 142,721.26/x
  3. Step 3: Cross multiply
    263,580x = 363,739.86 × 142,721.26
  4. Step 4: Simplify right side
    263,580x = 51,913,411,131.42
  5. Step 5: Solve for x
    x = 51,913,411,131.42/263,580
  6. Step 6: Final answer
    x = 196,955.05

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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.