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Finding the Fourth Proportional to 1,433,828.26, 1,978,451.45 and 821,868.40

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Solution

The fourth proportional to 1,433,828.26, 1,978,451.45 and 821,868.40 is: 1,134,045.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433,828.26 : 1,978,451.45 = 821,868.40 : x
  2. Step 2: Convert to fraction form
    1,433,828.26/1,978,451.45 = 821,868.40/x
  3. Step 3: Cross multiply
    1,433,828.26x = 1,978,451.45 × 821,868.40
  4. Step 4: Simplify right side
    1,433,828.26x = 1,626,026,718,633.71
  5. Step 5: Solve for x
    x = 1,626,026,718,633.71/1,433,828.26
  6. Step 6: Final answer
    x = 1,134,045.66

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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.