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Finding the Fourth Proportional to 422,384.36, 632,902.62 and 309,541.64

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Solution

The fourth proportional to 422,384.36, 632,902.62 and 309,541.64 is: 463,818.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,384.36 : 632,902.62 = 309,541.64 : x
  2. Step 2: Convert to fraction form
    422,384.36/632,902.62 = 309,541.64/x
  3. Step 3: Cross multiply
    422,384.36x = 632,902.62 × 309,541.64
  4. Step 4: Simplify right side
    422,384.36x = 195,909,714,955.10
  5. Step 5: Solve for x
    x = 195,909,714,955.10/422,384.36
  6. Step 6: Final answer
    x = 463,818.58

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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.