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Finding the Fourth Proportional to 1,100,811.90, 1,649,662.65 and 814,266.30

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Solution

The fourth proportional to 1,100,811.90, 1,649,662.65 and 814,266.30 is: 1,220,249.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100,811.90 : 1,649,662.65 = 814,266.30 : x
  2. Step 2: Convert to fraction form
    1,100,811.90/1,649,662.65 = 814,266.30/x
  3. Step 3: Cross multiply
    1,100,811.90x = 1,649,662.65 × 814,266.30
  4. Step 4: Simplify right side
    1,100,811.90x = 1,343,264,702,263.70
  5. Step 5: Solve for x
    x = 1,343,264,702,263.70/1,100,811.90
  6. Step 6: Final answer
    x = 1,220,249.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.