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Finding the Fourth Proportional to 511,324.20, 767,075.40 and 211,640.40

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Solution

The fourth proportional to 511,324.20, 767,075.40 and 211,640.40 is: 317,497.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,324.20 : 767,075.40 = 211,640.40 : x
  2. Step 2: Convert to fraction form
    511,324.20/767,075.40 = 211,640.40/x
  3. Step 3: Cross multiply
    511,324.20x = 767,075.40 × 211,640.40
  4. Step 4: Simplify right side
    511,324.20x = 162,344,144,486.16
  5. Step 5: Solve for x
    x = 162,344,144,486.16/511,324.20
  6. Step 6: Final answer
    x = 317,497.48

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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.