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Finding the Fourth Proportional to 746,177, 1,029,620.40 and 419,443.82

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Solution

The fourth proportional to 746,177, 1,029,620.40 and 419,443.82 is: 578,774.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,177 : 1,029,620.40 = 419,443.82 : x
  2. Step 2: Convert to fraction form
    746,177/1,029,620.40 = 419,443.82/x
  3. Step 3: Cross multiply
    746,177x = 1,029,620.40 × 419,443.82
  4. Step 4: Simplify right side
    746,177x = 431,867,913,725.93
  5. Step 5: Solve for x
    x = 431,867,913,725.93/746,177
  6. Step 6: Final answer
    x = 578,774.09

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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.