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Finding the Fourth Proportional to 511,744.61, 767,288.45 and 212,431.79

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Solution

The fourth proportional to 511,744.61, 767,288.45 and 212,431.79 is: 318,511.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,744.61 : 767,288.45 = 212,431.79 : x
  2. Step 2: Convert to fraction form
    511,744.61/767,288.45 = 212,431.79/x
  3. Step 3: Cross multiply
    511,744.61x = 767,288.45 × 212,431.79
  4. Step 4: Simplify right side
    511,744.61x = 162,996,453,981.22
  5. Step 5: Solve for x
    x = 162,996,453,981.22/511,744.61
  6. Step 6: Final answer
    x = 318,511.33

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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.