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Finding the Fourth Proportional to 603,180.60, 904,742.10 and 203,782.20

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Solution

The fourth proportional to 603,180.60, 904,742.10 and 203,782.20 is: 305,663.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,180.60 : 904,742.10 = 203,782.20 : x
  2. Step 2: Convert to fraction form
    603,180.60/904,742.10 = 203,782.20/x
  3. Step 3: Cross multiply
    603,180.60x = 904,742.10 × 203,782.20
  4. Step 4: Simplify right side
    603,180.60x = 184,370,335,570.62
  5. Step 5: Solve for x
    x = 184,370,335,570.62/603,180.60
  6. Step 6: Final answer
    x = 305,663.57

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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.