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Finding the Fourth Proportional to 228,783.12, 315,067.92 and 205,927.44

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Solution

The fourth proportional to 228,783.12, 315,067.92 and 205,927.44 is: 283,592.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,783.12 : 315,067.92 = 205,927.44 : x
  2. Step 2: Convert to fraction form
    228,783.12/315,067.92 = 205,927.44/x
  3. Step 3: Cross multiply
    228,783.12x = 315,067.92 × 205,927.44
  4. Step 4: Simplify right side
    228,783.12x = 64,881,130,191.72
  5. Step 5: Solve for x
    x = 64,881,130,191.72/228,783.12
  6. Step 6: Final answer
    x = 283,592.30

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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.