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Finding the Fourth Proportional to 228,709.50, 315,515.60 and 138,036.48

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Solution

The fourth proportional to 228,709.50, 315,515.60 and 138,036.48 is: 190,427.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,709.50 : 315,515.60 = 138,036.48 : x
  2. Step 2: Convert to fraction form
    228,709.50/315,515.60 = 138,036.48/x
  3. Step 3: Cross multiply
    228,709.50x = 315,515.60 × 138,036.48
  4. Step 4: Simplify right side
    228,709.50x = 43,552,662,809.09
  5. Step 5: Solve for x
    x = 43,552,662,809.09/228,709.50
  6. Step 6: Final answer
    x = 190,427.87

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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.