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Finding the Fourth Proportional to 1,433,829.51, 1,978,453.17 and 821,869.65

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Solution

The fourth proportional to 1,433,829.51, 1,978,453.17 and 821,869.65 is: 1,134,047.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433,829.51 : 1,978,453.17 = 821,869.65 : x
  2. Step 2: Convert to fraction form
    1,433,829.51/1,978,453.17 = 821,869.65/x
  3. Step 3: Cross multiply
    1,433,829.51x = 1,978,453.17 × 821,869.65
  4. Step 4: Simplify right side
    1,433,829.51x = 1,626,030,614,369.29
  5. Step 5: Solve for x
    x = 1,626,030,614,369.29/1,433,829.51
  6. Step 6: Final answer
    x = 1,134,047.39

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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.