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Finding the Fourth Proportional to 778,645, 1,074,530.34 and 420,949

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Solution

The fourth proportional to 778,645, 1,074,530.34 and 420,949 is: 580,909.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,645 : 1,074,530.34 = 420,949 : x
  2. Step 2: Convert to fraction form
    778,645/1,074,530.34 = 420,949/x
  3. Step 3: Cross multiply
    778,645x = 1,074,530.34 × 420,949
  4. Step 4: Simplify right side
    778,645x = 452,322,472,092.66
  5. Step 5: Solve for x
    x = 452,322,472,092.66/778,645
  6. Step 6: Final answer
    x = 580,909.75

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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.