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Finding the Fourth Proportional to 275,403, 380,692.80 and 229,816.20

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Solution

The fourth proportional to 275,403, 380,692.80 and 229,816.20 is: 317,677.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,403 : 380,692.80 = 229,816.20 : x
  2. Step 2: Convert to fraction form
    275,403/380,692.80 = 229,816.20/x
  3. Step 3: Cross multiply
    275,403x = 380,692.80 × 229,816.20
  4. Step 4: Simplify right side
    275,403x = 87,489,372,663.36
  5. Step 5: Solve for x
    x = 87,489,372,663.36/275,403
  6. Step 6: Final answer
    x = 317,677.63

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1.5x scale

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.