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Finding the Fourth Proportional to 802,110, 1,106,911.80 and 444,414

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Solution

The fourth proportional to 802,110, 1,106,911.80 and 444,414 is: 613,291.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,110 : 1,106,911.80 = 444,414 : x
  2. Step 2: Convert to fraction form
    802,110/1,106,911.80 = 444,414/x
  3. Step 3: Cross multiply
    802,110x = 1,106,911.80 × 444,414
  4. Step 4: Simplify right side
    802,110x = 491,927,100,685.20
  5. Step 5: Solve for x
    x = 491,927,100,685.20/802,110
  6. Step 6: Final answer
    x = 613,291.32

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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.