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Finding the Fourth Proportional to 777,674.31, 1,073,190.60 and 419,978.31

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Solution

The fourth proportional to 777,674.31, 1,073,190.60 and 419,978.31 is: 579,570.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,674.31 : 1,073,190.60 = 419,978.31 : x
  2. Step 2: Convert to fraction form
    777,674.31/1,073,190.60 = 419,978.31/x
  3. Step 3: Cross multiply
    777,674.31x = 1,073,190.60 × 419,978.31
  4. Step 4: Simplify right side
    777,674.31x = 450,716,774,495.89
  5. Step 5: Solve for x
    x = 450,716,774,495.89/777,674.31
  6. Step 6: Final answer
    x = 579,570.10

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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.