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Finding the Fourth Proportional to 1,209,855, 1,814,948.48 and 410,922

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Solution

The fourth proportional to 1,209,855, 1,814,948.48 and 410,922 is: 616,439.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209,855 : 1,814,948.48 = 410,922 : x
  2. Step 2: Convert to fraction form
    1,209,855/1,814,948.48 = 410,922/x
  3. Step 3: Cross multiply
    1,209,855x = 1,814,948.48 × 410,922
  4. Step 4: Simplify right side
    1,209,855x = 745,802,259,298.56
  5. Step 5: Solve for x
    x = 745,802,259,298.56/1,209,855
  6. Step 6: Final answer
    x = 616,439.37

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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.