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Finding the Fourth Proportional to 358,939.20, 538,408.80 and 109,588.80

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Solution

The fourth proportional to 358,939.20, 538,408.80 and 109,588.80 is: 164,383.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,939.20 : 538,408.80 = 109,588.80 : x
  2. Step 2: Convert to fraction form
    358,939.20/538,408.80 = 109,588.80/x
  3. Step 3: Cross multiply
    358,939.20x = 538,408.80 × 109,588.80
  4. Step 4: Simplify right side
    358,939.20x = 59,003,574,301.44
  5. Step 5: Solve for x
    x = 59,003,574,301.44/358,939.20
  6. Step 6: Final answer
    x = 164,383.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.