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Finding the Fourth Proportional to 228,342.15, 315,238.86 and 137,720.97

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Solution

The fourth proportional to 228,342.15, 315,238.86 and 137,720.97 is: 190,131.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,342.15 : 315,238.86 = 137,720.97 : x
  2. Step 2: Convert to fraction form
    228,342.15/315,238.86 = 137,720.97/x
  3. Step 3: Cross multiply
    228,342.15x = 315,238.86 × 137,720.97
  4. Step 4: Simplify right side
    228,342.15x = 43,415,001,580.89
  5. Step 5: Solve for x
    x = 43,415,001,580.89/228,342.15
  6. Step 6: Final answer
    x = 190,131.35

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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.