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Finding the Fourth Proportional to 511,415.39, 765,988.11 and 330,920.46

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Solution

The fourth proportional to 511,415.39, 765,988.11 and 330,920.46 is: 495,646.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,415.39 : 765,988.11 = 330,920.46 : x
  2. Step 2: Convert to fraction form
    511,415.39/765,988.11 = 330,920.46/x
  3. Step 3: Cross multiply
    511,415.39x = 765,988.11 × 330,920.46
  4. Step 4: Simplify right side
    511,415.39x = 253,481,137,715.73
  5. Step 5: Solve for x
    x = 253,481,137,715.73/511,415.39
  6. Step 6: Final answer
    x = 495,646.28

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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.