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Finding the Fourth Proportional to 542,843.22, 814,267.92 and 143,479.77

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Solution

The fourth proportional to 542,843.22, 814,267.92 and 143,479.77 is: 215,220.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,843.22 : 814,267.92 = 143,479.77 : x
  2. Step 2: Convert to fraction form
    542,843.22/814,267.92 = 143,479.77/x
  3. Step 3: Cross multiply
    542,843.22x = 814,267.92 × 143,479.77
  4. Step 4: Simplify right side
    542,843.22x = 116,830,973,879.98
  5. Step 5: Solve for x
    x = 116,830,973,879.98/542,843.22
  6. Step 6: Final answer
    x = 215,220.47

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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.