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Finding the Fourth Proportional to 307,989.10, 461,940.45 and 97,648.30

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Solution

The fourth proportional to 307,989.10, 461,940.45 and 97,648.30 is: 146,458.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,989.10 : 461,940.45 = 97,648.30 : x
  2. Step 2: Convert to fraction form
    307,989.10/461,940.45 = 97,648.30/x
  3. Step 3: Cross multiply
    307,989.10x = 461,940.45 × 97,648.30
  4. Step 4: Simplify right side
    307,989.10x = 45,107,699,643.74
  5. Step 5: Solve for x
    x = 45,107,699,643.74/307,989.10
  6. Step 6: Final answer
    x = 146,458.75

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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.