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Finding the Fourth Proportional to 542,213.72, 813,490.56 and 326,308.02

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Solution

The fourth proportional to 542,213.72, 813,490.56 and 326,308.02 is: 489,564.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,213.72 : 813,490.56 = 326,308.02 : x
  2. Step 2: Convert to fraction form
    542,213.72/813,490.56 = 326,308.02/x
  3. Step 3: Cross multiply
    542,213.72x = 813,490.56 × 326,308.02
  4. Step 4: Simplify right side
    542,213.72x = 265,448,493,922.29
  5. Step 5: Solve for x
    x = 265,448,493,922.29/542,213.72
  6. Step 6: Final answer
    x = 489,564.33

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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.