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Finding the Fourth Proportional to 309,722, 464,269.26 and 209,892.32

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Solution

The fourth proportional to 309,722, 464,269.26 and 209,892.32 is: 314,625.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,722 : 464,269.26 = 209,892.32 : x
  2. Step 2: Convert to fraction form
    309,722/464,269.26 = 209,892.32/x
  3. Step 3: Cross multiply
    309,722x = 464,269.26 × 209,892.32
  4. Step 4: Simplify right side
    309,722x = 97,446,552,086.08
  5. Step 5: Solve for x
    x = 97,446,552,086.08/309,722
  6. Step 6: Final answer
    x = 314,625.86

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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.