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Finding the Fourth Proportional to 321,914.49, 482,876.31 and 97,276.80

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Solution

The fourth proportional to 321,914.49, 482,876.31 and 97,276.80 is: 145,916.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,914.49 : 482,876.31 = 97,276.80 : x
  2. Step 2: Convert to fraction form
    321,914.49/482,876.31 = 97,276.80/x
  3. Step 3: Cross multiply
    321,914.49x = 482,876.31 × 97,276.80
  4. Step 4: Simplify right side
    321,914.49x = 46,972,662,232.61
  5. Step 5: Solve for x
    x = 46,972,662,232.61/321,914.49
  6. Step 6: Final answer
    x = 145,916.58

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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.