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Finding the Fourth Proportional to 321,666.87, 482,497.34 and 81,781.32

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Solution

The fourth proportional to 321,666.87, 482,497.34 and 81,781.32 is: 122,671.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,666.87 : 482,497.34 = 81,781.32 : x
  2. Step 2: Convert to fraction form
    321,666.87/482,497.34 = 81,781.32/x
  3. Step 3: Cross multiply
    321,666.87x = 482,497.34 × 81,781.32
  4. Step 4: Simplify right side
    321,666.87x = 39,459,268,952.78
  5. Step 5: Solve for x
    x = 39,459,268,952.78/321,666.87
  6. Step 6: Final answer
    x = 122,671.22

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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.