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Finding the Fourth Proportional to 388,704.96, 582,707.52 and 139,212

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Solution

The fourth proportional to 388,704.96, 582,707.52 and 139,212 is: 208,692.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,704.96 : 582,707.52 = 139,212 : x
  2. Step 2: Convert to fraction form
    388,704.96/582,707.52 = 139,212/x
  3. Step 3: Cross multiply
    388,704.96x = 582,707.52 × 139,212
  4. Step 4: Simplify right side
    388,704.96x = 81,119,879,274.24
  5. Step 5: Solve for x
    x = 81,119,879,274.24/388,704.96
  6. Step 6: Final answer
    x = 208,692.68

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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.