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Finding the Fourth Proportional to 407,168.56, 610,654.42 and 170,688.25

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Solution

The fourth proportional to 407,168.56, 610,654.42 and 170,688.25 is: 255,991.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,168.56 : 610,654.42 = 170,688.25 : x
  2. Step 2: Convert to fraction form
    407,168.56/610,654.42 = 170,688.25/x
  3. Step 3: Cross multiply
    407,168.56x = 610,654.42 × 170,688.25
  4. Step 4: Simplify right side
    407,168.56x = 104,231,534,304.57
  5. Step 5: Solve for x
    x = 104,231,534,304.57/407,168.56
  6. Step 6: Final answer
    x = 255,991.12

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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.