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Finding the Fourth Proportional to 307,361.26, 424,188.78 and 186,493.06

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Solution

The fourth proportional to 307,361.26, 424,188.78 and 186,493.06 is: 257,378.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,361.26 : 424,188.78 = 186,493.06 : x
  2. Step 2: Convert to fraction form
    307,361.26/424,188.78 = 186,493.06/x
  3. Step 3: Cross multiply
    307,361.26x = 424,188.78 × 186,493.06
  4. Step 4: Simplify right side
    307,361.26x = 79,108,262,667.40
  5. Step 5: Solve for x
    x = 79,108,262,667.40/307,361.26
  6. Step 6: Final answer
    x = 257,378.77

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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.