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Finding the Fourth Proportional to 321,454.82, 482,214.63 and 84,813.86

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Solution

The fourth proportional to 321,454.82, 482,214.63 and 84,813.86 is: 127,229.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,454.82 : 482,214.63 = 84,813.86 : x
  2. Step 2: Convert to fraction form
    321,454.82/482,214.63 = 84,813.86/x
  3. Step 3: Cross multiply
    321,454.82x = 482,214.63 × 84,813.86
  4. Step 4: Simplify right side
    321,454.82x = 40,898,484,118.77
  5. Step 5: Solve for x
    x = 40,898,484,118.77/321,454.82
  6. Step 6: Final answer
    x = 127,229.34

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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.