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Finding the Fourth Proportional to 307,542.40, 461,443.20 and 167,401.60

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Solution

The fourth proportional to 307,542.40, 461,443.20 and 167,401.60 is: 251,172.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,542.40 : 461,443.20 = 167,401.60 : x
  2. Step 2: Convert to fraction form
    307,542.40/461,443.20 = 167,401.60/x
  3. Step 3: Cross multiply
    307,542.40x = 461,443.20 × 167,401.60
  4. Step 4: Simplify right side
    307,542.40x = 77,246,329,989.12
  5. Step 5: Solve for x
    x = 77,246,329,989.12/307,542.40
  6. Step 6: Final answer
    x = 251,172.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.