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Finding the Fourth Proportional to 511,443.06, 767,386.19 and 274,508.88

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Solution

The fourth proportional to 511,443.06, 767,386.19 and 274,508.88 is: 411,882.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,443.06 : 767,386.19 = 274,508.88 : x
  2. Step 2: Convert to fraction form
    511,443.06/767,386.19 = 274,508.88/x
  3. Step 3: Cross multiply
    511,443.06x = 767,386.19 × 274,508.88
  4. Step 4: Simplify right side
    511,443.06x = 210,654,323,544.37
  5. Step 5: Solve for x
    x = 210,654,323,544.37/511,443.06
  6. Step 6: Final answer
    x = 411,882.26

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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.