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Finding the Fourth Proportional to 313,422.40, 470,392.80 and 145,201.60

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Solution

The fourth proportional to 313,422.40, 470,392.80 and 145,201.60 is: 217,922.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,422.40 : 470,392.80 = 145,201.60 : x
  2. Step 2: Convert to fraction form
    313,422.40/470,392.80 = 145,201.60/x
  3. Step 3: Cross multiply
    313,422.40x = 470,392.80 × 145,201.60
  4. Step 4: Simplify right side
    313,422.40x = 68,301,787,188.48
  5. Step 5: Solve for x
    x = 68,301,787,188.48/313,422.40
  6. Step 6: Final answer
    x = 217,922.48

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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.