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Finding the Fourth Proportional to 777,602, 1,073,090.76 and 419,906

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Solution

The fourth proportional to 777,602, 1,073,090.76 and 419,906 is: 579,470.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,602 : 1,073,090.76 = 419,906 : x
  2. Step 2: Convert to fraction form
    777,602/1,073,090.76 = 419,906/x
  3. Step 3: Cross multiply
    777,602x = 1,073,090.76 × 419,906
  4. Step 4: Simplify right side
    777,602x = 450,597,248,668.56
  5. Step 5: Solve for x
    x = 450,597,248,668.56/777,602
  6. Step 6: Final answer
    x = 579,470.28

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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.