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Finding the Fourth Proportional to 511,055.67, 765,860.57 and 283,452.15

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Solution

The fourth proportional to 511,055.67, 765,860.57 and 283,452.15 is: 424,777.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,055.67 : 765,860.57 = 283,452.15 : x
  2. Step 2: Convert to fraction form
    511,055.67/765,860.57 = 283,452.15/x
  3. Step 3: Cross multiply
    511,055.67x = 765,860.57 × 283,452.15
  4. Step 4: Simplify right side
    511,055.67x = 217,084,827,684.39
  5. Step 5: Solve for x
    x = 217,084,827,684.39/511,055.67
  6. Step 6: Final answer
    x = 424,777.26

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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.