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Finding the Fourth Proportional to 275,289.40, 412,934.10 and 191,308.60

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Solution

The fourth proportional to 275,289.40, 412,934.10 and 191,308.60 is: 286,962.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,289.40 : 412,934.10 = 191,308.60 : x
  2. Step 2: Convert to fraction form
    275,289.40/412,934.10 = 191,308.60/x
  3. Step 3: Cross multiply
    275,289.40x = 412,934.10 × 191,308.60
  4. Step 4: Simplify right side
    275,289.40x = 78,997,844,563.26
  5. Step 5: Solve for x
    x = 78,997,844,563.26/275,289.40
  6. Step 6: Final answer
    x = 286,962.90

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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.