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Finding the Fourth Proportional to 307,515.78, 424,361.52 and 180,188.64

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Solution

The fourth proportional to 307,515.78, 424,361.52 and 180,188.64 is: 248,654.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,515.78 : 424,361.52 = 180,188.64 : x
  2. Step 2: Convert to fraction form
    307,515.78/424,361.52 = 180,188.64/x
  3. Step 3: Cross multiply
    307,515.78x = 424,361.52 × 180,188.64
  4. Step 4: Simplify right side
    307,515.78x = 76,465,125,157.13
  5. Step 5: Solve for x
    x = 76,465,125,157.13/307,515.78
  6. Step 6: Final answer
    x = 248,654.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.