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Finding the Fourth Proportional to 286,362.98, 395,133.46 and 165,515.54

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Solution

The fourth proportional to 286,362.98, 395,133.46 and 165,515.54 is: 228,384.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,362.98 : 395,133.46 = 165,515.54 : x
  2. Step 2: Convert to fraction form
    286,362.98/395,133.46 = 165,515.54/x
  3. Step 3: Cross multiply
    286,362.98x = 395,133.46 × 165,515.54
  4. Step 4: Simplify right side
    286,362.98x = 65,400,728,003.97
  5. Step 5: Solve for x
    x = 65,400,728,003.97/286,362.98
  6. Step 6: Final answer
    x = 228,384.02

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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.