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Finding the Fourth Proportional to 368,932, 509,126.16 and 209,956

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Solution

The fourth proportional to 368,932, 509,126.16 and 209,956 is: 289,739.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,932 : 509,126.16 = 209,956 : x
  2. Step 2: Convert to fraction form
    368,932/509,126.16 = 209,956/x
  3. Step 3: Cross multiply
    368,932x = 509,126.16 × 209,956
  4. Step 4: Simplify right side
    368,932x = 106,894,092,048.96
  5. Step 5: Solve for x
    x = 106,894,092,048.96/368,932
  6. Step 6: Final answer
    x = 289,739.28

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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.