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Finding the Fourth Proportional to 511,806.88, 767,381.85 and 212,494.06

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Solution

The fourth proportional to 511,806.88, 767,381.85 and 212,494.06 is: 318,604.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,806.88 : 767,381.85 = 212,494.06 : x
  2. Step 2: Convert to fraction form
    511,806.88/767,381.85 = 212,494.06/x
  3. Step 3: Cross multiply
    511,806.88x = 767,381.85 × 212,494.06
  4. Step 4: Simplify right side
    511,806.88x = 163,064,084,876.81
  5. Step 5: Solve for x
    x = 163,064,084,876.81/511,806.88
  6. Step 6: Final answer
    x = 318,604.71

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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.