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Finding the Fourth Proportional to 306,388.80, 422,810.43 and 170,419.86

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Solution

The fourth proportional to 306,388.80, 422,810.43 and 170,419.86 is: 235,176.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,388.80 : 422,810.43 = 170,419.86 : x
  2. Step 2: Convert to fraction form
    306,388.80/422,810.43 = 170,419.86/x
  3. Step 3: Cross multiply
    306,388.80x = 422,810.43 × 170,419.86
  4. Step 4: Simplify right side
    306,388.80x = 72,055,294,287.14
  5. Step 5: Solve for x
    x = 72,055,294,287.14/306,388.80
  6. Step 6: Final answer
    x = 235,176.01

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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.