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Finding the Fourth Proportional to 777,642, 1,073,145.96 and 419,946

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Solution

The fourth proportional to 777,642, 1,073,145.96 and 419,946 is: 579,525.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,642 : 1,073,145.96 = 419,946 : x
  2. Step 2: Convert to fraction form
    777,642/1,073,145.96 = 419,946/x
  3. Step 3: Cross multiply
    777,642x = 1,073,145.96 × 419,946
  4. Step 4: Simplify right side
    777,642x = 450,663,353,318.16
  5. Step 5: Solve for x
    x = 450,663,353,318.16/777,642
  6. Step 6: Final answer
    x = 579,525.48

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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.