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Finding the Fourth Proportional to 326,683.52, 489,714.24 and 104,912

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Solution

The fourth proportional to 326,683.52, 489,714.24 and 104,912 is: 157,268.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,683.52 : 489,714.24 = 104,912 : x
  2. Step 2: Convert to fraction form
    326,683.52/489,714.24 = 104,912/x
  3. Step 3: Cross multiply
    326,683.52x = 489,714.24 × 104,912
  4. Step 4: Simplify right side
    326,683.52x = 51,376,900,346.88
  5. Step 5: Solve for x
    x = 51,376,900,346.88/326,683.52
  6. Step 6: Final answer
    x = 157,268.11

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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.