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Finding the Fourth Proportional to 319,611.78, 479,293.02 and 119,823.30

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Solution

The fourth proportional to 319,611.78, 479,293.02 and 119,823.30 is: 179,688.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,611.78 : 479,293.02 = 119,823.30 : x
  2. Step 2: Convert to fraction form
    319,611.78/479,293.02 = 119,823.30/x
  3. Step 3: Cross multiply
    319,611.78x = 479,293.02 × 119,823.30
  4. Step 4: Simplify right side
    319,611.78x = 57,430,471,323.37
  5. Step 5: Solve for x
    x = 57,430,471,323.37/319,611.78
  6. Step 6: Final answer
    x = 179,688.22

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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.