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Finding the Fourth Proportional to 272,933.80, 409,400.70 and 193,618.60

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Solution

The fourth proportional to 272,933.80, 409,400.70 and 193,618.60 is: 290,427.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,933.80 : 409,400.70 = 193,618.60 : x
  2. Step 2: Convert to fraction form
    272,933.80/409,400.70 = 193,618.60/x
  3. Step 3: Cross multiply
    272,933.80x = 409,400.70 × 193,618.60
  4. Step 4: Simplify right side
    272,933.80x = 79,267,590,373.02
  5. Step 5: Solve for x
    x = 79,267,590,373.02/272,933.80
  6. Step 6: Final answer
    x = 290,427.90

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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.