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Finding the Fourth Proportional to 307,940.20, 461,823.90 and 97,642.60

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Solution

The fourth proportional to 307,940.20, 461,823.90 and 97,642.60 is: 146,436.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,940.20 : 461,823.90 = 97,642.60 : x
  2. Step 2: Convert to fraction form
    307,940.20/461,823.90 = 97,642.60/x
  3. Step 3: Cross multiply
    307,940.20x = 461,823.90 × 97,642.60
  4. Step 4: Simplify right side
    307,940.20x = 45,093,686,338.14
  5. Step 5: Solve for x
    x = 45,093,686,338.14/307,940.20
  6. Step 6: Final answer
    x = 146,436.50

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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.