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Finding the Fourth Proportional to 228,241.98, 314,960.16 and 137,627.28

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Solution

The fourth proportional to 228,241.98, 314,960.16 and 137,627.28 is: 189,917.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,241.98 : 314,960.16 = 137,627.28 : x
  2. Step 2: Convert to fraction form
    228,241.98/314,960.16 = 137,627.28/x
  3. Step 3: Cross multiply
    228,241.98x = 314,960.16 × 137,627.28
  4. Step 4: Simplify right side
    228,241.98x = 43,347,110,129.16
  5. Step 5: Solve for x
    x = 43,347,110,129.16/228,241.98
  6. Step 6: Final answer
    x = 189,917.34

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1.5x scale

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.