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Finding the Fourth Proportional to 542,205.72, 813,478.56 and 326,300.01

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Solution

The fourth proportional to 542,205.72, 813,478.56 and 326,300.01 is: 489,552.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,205.72 : 813,478.56 = 326,300.01 : x
  2. Step 2: Convert to fraction form
    542,205.72/813,478.56 = 326,300.01/x
  3. Step 3: Cross multiply
    542,205.72x = 813,478.56 × 326,300.01
  4. Step 4: Simplify right side
    542,205.72x = 265,438,062,262.79
  5. Step 5: Solve for x
    x = 265,438,062,262.79/542,205.72
  6. Step 6: Final answer
    x = 489,552.31

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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.