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Finding the Fourth Proportional to 548,185.56, 821,726.30 and 228,514.40

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Solution

The fourth proportional to 548,185.56, 821,726.30 and 228,514.40 is: 342,541.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,185.56 : 821,726.30 = 228,514.40 : x
  2. Step 2: Convert to fraction form
    548,185.56/821,726.30 = 228,514.40/x
  3. Step 3: Cross multiply
    548,185.56x = 821,726.30 × 228,514.40
  4. Step 4: Simplify right side
    548,185.56x = 187,776,291,952.85
  5. Step 5: Solve for x
    x = 187,776,291,952.85/548,185.56
  6. Step 6: Final answer
    x = 342,541.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.