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Finding the Fourth Proportional to 441,662.49, 662,493.96 and 142,143.06

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Solution

The fourth proportional to 441,662.49, 662,493.96 and 142,143.06 is: 213,214.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,662.49 : 662,493.96 = 142,143.06 : x
  2. Step 2: Convert to fraction form
    441,662.49/662,493.96 = 142,143.06/x
  3. Step 3: Cross multiply
    441,662.49x = 662,493.96 × 142,143.06
  4. Step 4: Simplify right side
    441,662.49x = 94,168,918,705.92
  5. Step 5: Solve for x
    x = 94,168,918,705.92/441,662.49
  6. Step 6: Final answer
    x = 213,214.66

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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.