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Finding the Fourth Proportional to 489,410.19, 734,027.79 and 311,388.39

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Solution

The fourth proportional to 489,410.19, 734,027.79 and 311,388.39 is: 467,026.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,410.19 : 734,027.79 = 311,388.39 : x
  2. Step 2: Convert to fraction form
    489,410.19/734,027.79 = 311,388.39/x
  3. Step 3: Cross multiply
    489,410.19x = 734,027.79 × 311,388.39
  4. Step 4: Simplify right side
    489,410.19x = 228,567,731,743.36
  5. Step 5: Solve for x
    x = 228,567,731,743.36/489,410.19
  6. Step 6: Final answer
    x = 467,026.92

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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.