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Finding the Fourth Proportional to 283,218.84, 390,839.31 and 155,893.32

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Solution

The fourth proportional to 283,218.84, 390,839.31 and 155,893.32 is: 215,131.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,218.84 : 390,839.31 = 155,893.32 : x
  2. Step 2: Convert to fraction form
    283,218.84/390,839.31 = 155,893.32/x
  3. Step 3: Cross multiply
    283,218.84x = 390,839.31 × 155,893.32
  4. Step 4: Simplify right side
    283,218.84x = 60,929,237,622.41
  5. Step 5: Solve for x
    x = 60,929,237,622.41/283,218.84
  6. Step 6: Final answer
    x = 215,131.30

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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.