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Finding the Fourth Proportional to 309,999.36, 427,927.68 and 209,533.44

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Solution

The fourth proportional to 309,999.36, 427,927.68 and 209,533.44 is: 289,243.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,999.36 : 427,927.68 = 209,533.44 : x
  2. Step 2: Convert to fraction form
    309,999.36/427,927.68 = 209,533.44/x
  3. Step 3: Cross multiply
    309,999.36x = 427,927.68 × 209,533.44
  4. Step 4: Simplify right side
    309,999.36x = 89,665,158,861.62
  5. Step 5: Solve for x
    x = 89,665,158,861.62/309,999.36
  6. Step 6: Final answer
    x = 289,243.05

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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.