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Finding the Fourth Proportional to 507,906.36, 700,863.66 and 281,532.60

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Solution

The fourth proportional to 507,906.36, 700,863.66 and 281,532.60 is: 388,488.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,906.36 : 700,863.66 = 281,532.60 : x
  2. Step 2: Convert to fraction form
    507,906.36/700,863.66 = 281,532.60/x
  3. Step 3: Cross multiply
    507,906.36x = 700,863.66 × 281,532.60
  4. Step 4: Simplify right side
    507,906.36x = 197,315,968,445.32
  5. Step 5: Solve for x
    x = 197,315,968,445.32/507,906.36
  6. Step 6: Final answer
    x = 388,488.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.