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Finding the Fourth Proportional to 1,281,971.75, 1,769,665.74 and 798,775.63

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Solution

The fourth proportional to 1,281,971.75, 1,769,665.74 and 798,775.63 is: 1,102,649.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281,971.75 : 1,769,665.74 = 798,775.63 : x
  2. Step 2: Convert to fraction form
    1,281,971.75/1,769,665.74 = 798,775.63/x
  3. Step 3: Cross multiply
    1,281,971.75x = 1,769,665.74 × 798,775.63
  4. Step 4: Simplify right side
    1,281,971.75x = 1,413,565,866,357.92
  5. Step 5: Solve for x
    x = 1,413,565,866,357.92/1,281,971.75
  6. Step 6: Final answer
    x = 1,102,649.78

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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.