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Finding the Fourth Proportional to 511,868.94, 768,274.62 and 259,325.11

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Solution

The fourth proportional to 511,868.94, 768,274.62 and 259,325.11 is: 389,226.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,868.94 : 768,274.62 = 259,325.11 : x
  2. Step 2: Convert to fraction form
    511,868.94/768,274.62 = 259,325.11/x
  3. Step 3: Cross multiply
    511,868.94x = 768,274.62 × 259,325.11
  4. Step 4: Simplify right side
    511,868.94x = 199,232,900,341.71
  5. Step 5: Solve for x
    x = 199,232,900,341.71/511,868.94
  6. Step 6: Final answer
    x = 389,226.39

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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.