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Finding the Fourth Proportional to 321,605.40, 482,431.32 and 84,945

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Solution

The fourth proportional to 321,605.40, 482,431.32 and 84,945 is: 127,423.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,605.40 : 482,431.32 = 84,945 : x
  2. Step 2: Convert to fraction form
    321,605.40/482,431.32 = 84,945/x
  3. Step 3: Cross multiply
    321,605.40x = 482,431.32 × 84,945
  4. Step 4: Simplify right side
    321,605.40x = 40,980,128,477.40
  5. Step 5: Solve for x
    x = 40,980,128,477.40/321,605.40
  6. Step 6: Final answer
    x = 127,423.63

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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.