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Finding the Fourth Proportional to 511,869.90, 767,804.70 and 274,886.58

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Solution

The fourth proportional to 511,869.90, 767,804.70 and 274,886.58 is: 412,329.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,869.90 : 767,804.70 = 274,886.58 : x
  2. Step 2: Convert to fraction form
    511,869.90/767,804.70 = 274,886.58/x
  3. Step 3: Cross multiply
    511,869.90x = 767,804.70 × 274,886.58
  4. Step 4: Simplify right side
    511,869.90x = 211,059,208,090.93
  5. Step 5: Solve for x
    x = 211,059,208,090.93/511,869.90
  6. Step 6: Final answer
    x = 412,329.79

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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.