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Finding the Fourth Proportional to 1,428,494.54, 1,971,346.41 and 783,974.70

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Solution

The fourth proportional to 1,428,494.54, 1,971,346.41 and 783,974.70 is: 1,081,898.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428,494.54 : 1,971,346.41 = 783,974.70 : x
  2. Step 2: Convert to fraction form
    1,428,494.54/1,971,346.41 = 783,974.70/x
  3. Step 3: Cross multiply
    1,428,494.54x = 1,971,346.41 × 783,974.70
  4. Step 4: Simplify right side
    1,428,494.54x = 1,545,485,710,375.83
  5. Step 5: Solve for x
    x = 1,545,485,710,375.83/1,428,494.54
  6. Step 6: Final answer
    x = 1,081,898.23

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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.