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Finding the Fourth Proportional to 681,038, 1,021,630.80 and 254,777.12

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Solution

The fourth proportional to 681,038, 1,021,630.80 and 254,777.12 is: 382,193.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,038 : 1,021,630.80 = 254,777.12 : x
  2. Step 2: Convert to fraction form
    681,038/1,021,630.80 = 254,777.12/x
  3. Step 3: Cross multiply
    681,038x = 1,021,630.80 × 254,777.12
  4. Step 4: Simplify right side
    681,038x = 260,288,152,927.30
  5. Step 5: Solve for x
    x = 260,288,152,927.30/681,038
  6. Step 6: Final answer
    x = 382,193.29

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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.