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Finding the Fourth Proportional to 400,498.35, 600,845.95 and 120,015.60

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Solution

The fourth proportional to 400,498.35, 600,845.95 and 120,015.60 is: 180,052.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,498.35 : 600,845.95 = 120,015.60 : x
  2. Step 2: Convert to fraction form
    400,498.35/600,845.95 = 120,015.60/x
  3. Step 3: Cross multiply
    400,498.35x = 600,845.95 × 120,015.60
  4. Step 4: Simplify right side
    400,498.35x = 72,110,885,093.67
  5. Step 5: Solve for x
    x = 72,110,885,093.67/400,498.35
  6. Step 6: Final answer
    x = 180,052.89

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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.