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Finding the Fourth Proportional to 763,796, 1,054,039.04 and 419,654.12

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Solution

The fourth proportional to 763,796, 1,054,039.04 and 419,654.12 is: 579,122.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,796 : 1,054,039.04 = 419,654.12 : x
  2. Step 2: Convert to fraction form
    763,796/1,054,039.04 = 419,654.12/x
  3. Step 3: Cross multiply
    763,796x = 1,054,039.04 × 419,654.12
  4. Step 4: Simplify right side
    763,796x = 442,331,825,776.85
  5. Step 5: Solve for x
    x = 442,331,825,776.85/763,796
  6. Step 6: Final answer
    x = 579,122.99

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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.