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Finding the Fourth Proportional to 454,802.40, 682,203.60 and 218,023.20

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Solution

The fourth proportional to 454,802.40, 682,203.60 and 218,023.20 is: 327,034.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,802.40 : 682,203.60 = 218,023.20 : x
  2. Step 2: Convert to fraction form
    454,802.40/682,203.60 = 218,023.20/x
  3. Step 3: Cross multiply
    454,802.40x = 682,203.60 × 218,023.20
  4. Step 4: Simplify right side
    454,802.40x = 148,736,211,923.52
  5. Step 5: Solve for x
    x = 148,736,211,923.52/454,802.40
  6. Step 6: Final answer
    x = 327,034.80

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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.