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Finding the Fourth Proportional to 228,442.88, 315,255.36 and 127,840.64

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Solution

The fourth proportional to 228,442.88, 315,255.36 and 127,840.64 is: 176,422.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,442.88 : 315,255.36 = 127,840.64 : x
  2. Step 2: Convert to fraction form
    228,442.88/315,255.36 = 127,840.64/x
  3. Step 3: Cross multiply
    228,442.88x = 315,255.36 × 127,840.64
  4. Step 4: Simplify right side
    228,442.88x = 40,302,446,985.83
  5. Step 5: Solve for x
    x = 40,302,446,985.83/228,442.88
  6. Step 6: Final answer
    x = 176,422.43

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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.