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Finding the Fourth Proportional to 777,672.31, 1,073,187.84 and 419,976.31

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Solution

The fourth proportional to 777,672.31, 1,073,187.84 and 419,976.31 is: 579,567.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,672.31 : 1,073,187.84 = 419,976.31 : x
  2. Step 2: Convert to fraction form
    777,672.31/1,073,187.84 = 419,976.31/x
  3. Step 3: Cross multiply
    777,672.31x = 1,073,187.84 × 419,976.31
  4. Step 4: Simplify right side
    777,672.31x = 450,713,468,980.07
  5. Step 5: Solve for x
    x = 450,713,468,980.07/777,672.31
  6. Step 6: Final answer
    x = 579,567.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.