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Finding the Fourth Proportional to 270,128, 372,776.64 and 150,896

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Solution

The fourth proportional to 270,128, 372,776.64 and 150,896 is: 208,236.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,128 : 372,776.64 = 150,896 : x
  2. Step 2: Convert to fraction form
    270,128/372,776.64 = 150,896/x
  3. Step 3: Cross multiply
    270,128x = 372,776.64 × 150,896
  4. Step 4: Simplify right side
    270,128x = 56,250,503,869.44
  5. Step 5: Solve for x
    x = 56,250,503,869.44/270,128
  6. Step 6: Final answer
    x = 208,236.48

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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.