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Finding the Fourth Proportional to 522,021.08, 782,012.12 and 359,886.42

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Solution

The fourth proportional to 522,021.08, 782,012.12 and 359,886.42 is: 539,126.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,021.08 : 782,012.12 = 359,886.42 : x
  2. Step 2: Convert to fraction form
    522,021.08/782,012.12 = 359,886.42/x
  3. Step 3: Cross multiply
    522,021.08x = 782,012.12 × 359,886.42
  4. Step 4: Simplify right side
    522,021.08x = 281,435,542,263.41
  5. Step 5: Solve for x
    x = 281,435,542,263.41/522,021.08
  6. Step 6: Final answer
    x = 539,126.78

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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.