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Finding the Fourth Proportional to 389,626.40, 584,439.60 and 164,912.15

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Solution

The fourth proportional to 389,626.40, 584,439.60 and 164,912.15 is: 247,368.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,626.40 : 584,439.60 = 164,912.15 : x
  2. Step 2: Convert to fraction form
    389,626.40/584,439.60 = 164,912.15/x
  3. Step 3: Cross multiply
    389,626.40x = 584,439.60 × 164,912.15
  4. Step 4: Simplify right side
    389,626.40x = 96,381,190,981.14
  5. Step 5: Solve for x
    x = 96,381,190,981.14/389,626.40
  6. Step 6: Final answer
    x = 247,368.23

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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.