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Finding the Fourth Proportional to 319,392, 479,169 and 119,712.96

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Solution

The fourth proportional to 319,392, 479,169 and 119,712.96 is: 179,599.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,392 : 479,169 = 119,712.96 : x
  2. Step 2: Convert to fraction form
    319,392/479,169 = 119,712.96/x
  3. Step 3: Cross multiply
    319,392x = 479,169 × 119,712.96
  4. Step 4: Simplify right side
    319,392x = 57,362,739,330.24
  5. Step 5: Solve for x
    x = 57,362,739,330.24/319,392
  6. Step 6: Final answer
    x = 179,599.80

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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.