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Finding the Fourth Proportional to 307,597.36, 461,235.12 and 138,972.64

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Solution

The fourth proportional to 307,597.36, 461,235.12 and 138,972.64 is: 208,386.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,597.36 : 461,235.12 = 138,972.64 : x
  2. Step 2: Convert to fraction form
    307,597.36/461,235.12 = 138,972.64/x
  3. Step 3: Cross multiply
    307,597.36x = 461,235.12 × 138,972.64
  4. Step 4: Simplify right side
    307,597.36x = 64,099,062,287.12
  5. Step 5: Solve for x
    x = 64,099,062,287.12/307,597.36
  6. Step 6: Final answer
    x = 208,386.26

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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.