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Finding the Fourth Proportional to 389,706.40, 584,122.20 and 165,028.60

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Solution

The fourth proportional to 389,706.40, 584,122.20 and 165,028.60 is: 247,357.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,706.40 : 584,122.20 = 165,028.60 : x
  2. Step 2: Convert to fraction form
    389,706.40/584,122.20 = 165,028.60/x
  3. Step 3: Cross multiply
    389,706.40x = 584,122.20 × 165,028.60
  4. Step 4: Simplify right side
    389,706.40x = 96,396,868,894.92
  5. Step 5: Solve for x
    x = 96,396,868,894.92/389,706.40
  6. Step 6: Final answer
    x = 247,357.67

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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.