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Finding the Fourth Proportional to 489,575.07, 734,397.03 and 204,978.42

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Solution

The fourth proportional to 489,575.07, 734,397.03 and 204,978.42 is: 307,482.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,575.07 : 734,397.03 = 204,978.42 : x
  2. Step 2: Convert to fraction form
    489,575.07/734,397.03 = 204,978.42/x
  3. Step 3: Cross multiply
    489,575.07x = 734,397.03 × 204,978.42
  4. Step 4: Simplify right side
    489,575.07x = 150,535,542,862.09
  5. Step 5: Solve for x
    x = 150,535,542,862.09/489,575.07
  6. Step 6: Final answer
    x = 307,482.04

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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.