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Finding the Fourth Proportional to 389,674.44, 584,515.94 and 136,962.14

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Solution

The fourth proportional to 389,674.44, 584,515.94 and 136,962.14 is: 205,444.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,674.44 : 584,515.94 = 136,962.14 : x
  2. Step 2: Convert to fraction form
    389,674.44/584,515.94 = 136,962.14/x
  3. Step 3: Cross multiply
    389,674.44x = 584,515.94 × 136,962.14
  4. Step 4: Simplify right side
    389,674.44x = 80,056,550,399.12
  5. Step 5: Solve for x
    x = 80,056,550,399.12/389,674.44
  6. Step 6: Final answer
    x = 205,444.71

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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.