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Finding the Fourth Proportional to 380,153.84, 570,968.87 and 279,918.23

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Solution

The fourth proportional to 380,153.84, 570,968.87 and 279,918.23 is: 420,420.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,153.84 : 570,968.87 = 279,918.23 : x
  2. Step 2: Convert to fraction form
    380,153.84/570,968.87 = 279,918.23/x
  3. Step 3: Cross multiply
    380,153.84x = 570,968.87 × 279,918.23
  4. Step 4: Simplify right side
    380,153.84x = 159,824,591,221.07
  5. Step 5: Solve for x
    x = 159,824,591,221.07/380,153.84
  6. Step 6: Final answer
    x = 420,420.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.