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Finding the Fourth Proportional to 511,458.36, 766,205.41 and 286,135.93

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Solution

The fourth proportional to 511,458.36, 766,205.41 and 286,135.93 is: 428,654.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,458.36 : 766,205.41 = 286,135.93 : x
  2. Step 2: Convert to fraction form
    511,458.36/766,205.41 = 286,135.93/x
  3. Step 3: Cross multiply
    511,458.36x = 766,205.41 × 286,135.93
  4. Step 4: Simplify right side
    511,458.36x = 219,238,897,561.38
  5. Step 5: Solve for x
    x = 219,238,897,561.38/511,458.36
  6. Step 6: Final answer
    x = 428,654.44

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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.