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Finding the Fourth Proportional to 283,093.94, 390,672.36 and 155,772.26

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Solution

The fourth proportional to 283,093.94, 390,672.36 and 155,772.26 is: 214,967.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,093.94 : 390,672.36 = 155,772.26 : x
  2. Step 2: Convert to fraction form
    283,093.94/390,672.36 = 155,772.26/x
  3. Step 3: Cross multiply
    283,093.94x = 390,672.36 × 155,772.26
  4. Step 4: Simplify right side
    283,093.94x = 60,855,916,436.73
  5. Step 5: Solve for x
    x = 60,855,916,436.73/283,093.94
  6. Step 6: Final answer
    x = 214,967.22

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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.