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Finding the Fourth Proportional to 290,216, 435,323.94 and 190,353.12

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Solution

The fourth proportional to 290,216, 435,323.94 and 190,353.12 is: 285,529.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,216 : 435,323.94 = 190,353.12 : x
  2. Step 2: Convert to fraction form
    290,216/435,323.94 = 190,353.12/x
  3. Step 3: Cross multiply
    290,216x = 435,323.94 × 190,353.12
  4. Step 4: Simplify right side
    290,216x = 82,865,270,189.69
  5. Step 5: Solve for x
    x = 82,865,270,189.69/290,216
  6. Step 6: Final answer
    x = 285,529.64

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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.