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Finding the Fourth Proportional to 802,103.36, 1,106,902.62 and 462,571.61

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Solution

The fourth proportional to 802,103.36, 1,106,902.62 and 462,571.61 is: 638,348.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,103.36 : 1,106,902.62 = 462,571.61 : x
  2. Step 2: Convert to fraction form
    802,103.36/1,106,902.62 = 462,571.61/x
  3. Step 3: Cross multiply
    802,103.36x = 1,106,902.62 × 462,571.61
  4. Step 4: Simplify right side
    802,103.36x = 512,021,721,512.11
  5. Step 5: Solve for x
    x = 512,021,721,512.11/802,103.36
  6. Step 6: Final answer
    x = 638,348.81

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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.