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Finding the Fourth Proportional to 292,493.60, 438,812.40 and 82,128.80

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Solution

The fourth proportional to 292,493.60, 438,812.40 and 82,128.80 is: 123,213.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,493.60 : 438,812.40 = 82,128.80 : x
  2. Step 2: Convert to fraction form
    292,493.60/438,812.40 = 82,128.80/x
  3. Step 3: Cross multiply
    292,493.60x = 438,812.40 × 82,128.80
  4. Step 4: Simplify right side
    292,493.60x = 36,039,135,837.12
  5. Step 5: Solve for x
    x = 36,039,135,837.12/292,493.60
  6. Step 6: Final answer
    x = 123,213.42

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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.