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Finding the Fourth Proportional to 511,077.54, 765,768.82 and 310,792.08

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Solution

The fourth proportional to 511,077.54, 765,768.82 and 310,792.08 is: 465,672.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,077.54 : 765,768.82 = 310,792.08 : x
  2. Step 2: Convert to fraction form
    511,077.54/765,768.82 = 310,792.08/x
  3. Step 3: Cross multiply
    511,077.54x = 765,768.82 × 310,792.08
  4. Step 4: Simplify right side
    511,077.54x = 237,994,884,366.95
  5. Step 5: Solve for x
    x = 237,994,884,366.95/511,077.54
  6. Step 6: Final answer
    x = 465,672.75

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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.