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Finding the Fourth Proportional to 511,978.20, 767,914.02 and 137,978.52

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Solution

The fourth proportional to 511,978.20, 767,914.02 and 137,978.52 is: 206,953.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,978.20 : 767,914.02 = 137,978.52 : x
  2. Step 2: Convert to fraction form
    511,978.20/767,914.02 = 137,978.52/x
  3. Step 3: Cross multiply
    511,978.20x = 767,914.02 × 137,978.52
  4. Step 4: Simplify right side
    511,978.20x = 105,955,639,966.85
  5. Step 5: Solve for x
    x = 105,955,639,966.85/511,978.20
  6. Step 6: Final answer
    x = 206,953.42

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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.