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Finding the Fourth Proportional to 283,317, 390,969.72 and 155,993.28

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Solution

The fourth proportional to 283,317, 390,969.72 and 155,993.28 is: 215,266.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,317 : 390,969.72 = 155,993.28 : x
  2. Step 2: Convert to fraction form
    283,317/390,969.72 = 155,993.28/x
  3. Step 3: Cross multiply
    283,317x = 390,969.72 × 155,993.28
  4. Step 4: Simplify right side
    283,317x = 60,988,649,003.48
  5. Step 5: Solve for x
    x = 60,988,649,003.48/283,317
  6. Step 6: Final answer
    x = 215,266.46

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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.