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Finding the Fourth Proportional to 320,780, 442,793.04 and 186,644

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Solution

The fourth proportional to 320,780, 442,793.04 and 186,644 is: 257,636.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,780 : 442,793.04 = 186,644 : x
  2. Step 2: Convert to fraction form
    320,780/442,793.04 = 186,644/x
  3. Step 3: Cross multiply
    320,780x = 442,793.04 × 186,644
  4. Step 4: Simplify right side
    320,780x = 82,644,664,157.76
  5. Step 5: Solve for x
    x = 82,644,664,157.76/320,780
  6. Step 6: Final answer
    x = 257,636.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.