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Finding the Fourth Proportional to 526,020.80, 788,512.80 and 259,822.40

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Solution

The fourth proportional to 526,020.80, 788,512.80 and 259,822.40 is: 389,477.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,020.80 : 788,512.80 = 259,822.40 : x
  2. Step 2: Convert to fraction form
    526,020.80/788,512.80 = 259,822.40/x
  3. Step 3: Cross multiply
    526,020.80x = 788,512.80 × 259,822.40
  4. Step 4: Simplify right side
    526,020.80x = 204,873,288,126.72
  5. Step 5: Solve for x
    x = 204,873,288,126.72/526,020.80
  6. Step 6: Final answer
    x = 389,477.54

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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.