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Finding the Fourth Proportional to 511,980.79, 768,314 and 212,461.68

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Solution

The fourth proportional to 511,980.79, 768,314 and 212,461.68 is: 318,834.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,980.79 : 768,314 = 212,461.68 : x
  2. Step 2: Convert to fraction form
    511,980.79/768,314 = 212,461.68/x
  3. Step 3: Cross multiply
    511,980.79x = 768,314 × 212,461.68
  4. Step 4: Simplify right side
    511,980.79x = 163,237,283,207.52
  5. Step 5: Solve for x
    x = 163,237,283,207.52/511,980.79
  6. Step 6: Final answer
    x = 318,834.78

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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.