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Finding the Fourth Proportional to 205,408.40, 307,853.40 and 100,000.40

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Solution

The fourth proportional to 205,408.40, 307,853.40 and 100,000.40 is: 149,874.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,408.40 : 307,853.40 = 100,000.40 : x
  2. Step 2: Convert to fraction form
    205,408.40/307,853.40 = 100,000.40/x
  3. Step 3: Cross multiply
    205,408.40x = 307,853.40 × 100,000.40
  4. Step 4: Simplify right side
    205,408.40x = 30,785,463,141.36
  5. Step 5: Solve for x
    x = 30,785,463,141.36/205,408.40
  6. Step 6: Final answer
    x = 149,874.41

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1.5x scale

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.