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Finding the Fourth Proportional to 321,412.24, 482,079.48 and 84,772.77

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Solution

The fourth proportional to 321,412.24, 482,079.48 and 84,772.77 is: 127,148.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,412.24 : 482,079.48 = 84,772.77 : x
  2. Step 2: Convert to fraction form
    321,412.24/482,079.48 = 84,772.77/x
  3. Step 3: Cross multiply
    321,412.24x = 482,079.48 × 84,772.77
  4. Step 4: Simplify right side
    321,412.24x = 40,867,212,879.76
  5. Step 5: Solve for x
    x = 40,867,212,879.76/321,412.24
  6. Step 6: Final answer
    x = 127,148.90

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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.