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Finding the Fourth Proportional to 228,577.20, 315,433.08 and 127,978.80

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Solution

The fourth proportional to 228,577.20, 315,433.08 and 127,978.80 is: 176,608.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,577.20 : 315,433.08 = 127,978.80 : x
  2. Step 2: Convert to fraction form
    228,577.20/315,433.08 = 127,978.80/x
  3. Step 3: Cross multiply
    228,577.20x = 315,433.08 × 127,978.80
  4. Step 4: Simplify right side
    228,577.20x = 40,368,747,058.70
  5. Step 5: Solve for x
    x = 40,368,747,058.70/228,577.20
  6. Step 6: Final answer
    x = 176,608.81

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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.