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Finding the Fourth Proportional to 465,138.78, 697,583.62 and 128,099.32

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Solution

The fourth proportional to 465,138.78, 697,583.62 and 128,099.32 is: 192,114.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,138.78 : 697,583.62 = 128,099.32 : x
  2. Step 2: Convert to fraction form
    465,138.78/697,583.62 = 128,099.32/x
  3. Step 3: Cross multiply
    465,138.78x = 697,583.62 × 128,099.32
  4. Step 4: Simplify right side
    465,138.78x = 89,359,987,365.14
  5. Step 5: Solve for x
    x = 89,359,987,365.14/465,138.78
  6. Step 6: Final answer
    x = 192,114.68

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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.