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Finding the Fourth Proportional to 603,048, 904,986.72 and 209,064

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Solution

The fourth proportional to 603,048, 904,986.72 and 209,064 is: 313,739.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,048 : 904,986.72 = 209,064 : x
  2. Step 2: Convert to fraction form
    603,048/904,986.72 = 209,064/x
  3. Step 3: Cross multiply
    603,048x = 904,986.72 × 209,064
  4. Step 4: Simplify right side
    603,048x = 189,200,143,630.08
  5. Step 5: Solve for x
    x = 189,200,143,630.08/603,048
  6. Step 6: Final answer
    x = 313,739.77

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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.