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Finding the Fourth Proportional to 263,805.95, 364,053.47 and 142,947.45

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Solution

The fourth proportional to 263,805.95, 364,053.47 and 142,947.45 is: 197,268.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,805.95 : 364,053.47 = 142,947.45 : x
  2. Step 2: Convert to fraction form
    263,805.95/364,053.47 = 142,947.45/x
  3. Step 3: Cross multiply
    263,805.95x = 364,053.47 × 142,947.45
  4. Step 4: Simplify right side
    263,805.95x = 52,040,515,200.15
  5. Step 5: Solve for x
    x = 52,040,515,200.15/263,805.95
  6. Step 6: Final answer
    x = 197,268.17

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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.