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Finding the Fourth Proportional to 286,447.98, 395,309.43 and 195,993.66

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Solution

The fourth proportional to 286,447.98, 395,309.43 and 195,993.66 is: 270,478.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,447.98 : 395,309.43 = 195,993.66 : x
  2. Step 2: Convert to fraction form
    286,447.98/395,309.43 = 195,993.66/x
  3. Step 3: Cross multiply
    286,447.98x = 395,309.43 × 195,993.66
  4. Step 4: Simplify right side
    286,447.98x = 77,478,142,018.21
  5. Step 5: Solve for x
    x = 77,478,142,018.21/286,447.98
  6. Step 6: Final answer
    x = 270,478.93

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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.