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Finding the Fourth Proportional to 382,271.94, 573,415.81 and 139,104.68

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Solution

The fourth proportional to 382,271.94, 573,415.81 and 139,104.68 is: 208,659.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,271.94 : 573,415.81 = 139,104.68 : x
  2. Step 2: Convert to fraction form
    382,271.94/573,415.81 = 139,104.68/x
  3. Step 3: Cross multiply
    382,271.94x = 573,415.81 × 139,104.68
  4. Step 4: Simplify right side
    382,271.94x = 79,764,819,542.15
  5. Step 5: Solve for x
    x = 79,764,819,542.15/382,271.94
  6. Step 6: Final answer
    x = 208,659.89

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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.