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Finding the Fourth Proportional to 778,645, 1,074,532.66 and 420,951.56

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Solution

The fourth proportional to 778,645, 1,074,532.66 and 420,951.56 is: 580,914.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,645 : 1,074,532.66 = 420,951.56 : x
  2. Step 2: Convert to fraction form
    778,645/1,074,532.66 = 420,951.56/x
  3. Step 3: Cross multiply
    778,645x = 1,074,532.66 × 420,951.56
  4. Step 4: Simplify right side
    778,645x = 452,326,199,497.95
  5. Step 5: Solve for x
    x = 452,326,199,497.95/778,645
  6. Step 6: Final answer
    x = 580,914.54

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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.