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Finding the Fourth Proportional to 386,090.60, 578,675.10 and 161,450.60

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Solution

The fourth proportional to 386,090.60, 578,675.10 and 161,450.60 is: 241,983.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,090.60 : 578,675.10 = 161,450.60 : x
  2. Step 2: Convert to fraction form
    386,090.60/578,675.10 = 161,450.60/x
  3. Step 3: Cross multiply
    386,090.60x = 578,675.10 × 161,450.60
  4. Step 4: Simplify right side
    386,090.60x = 93,427,442,100.06
  5. Step 5: Solve for x
    x = 93,427,442,100.06/386,090.60
  6. Step 6: Final answer
    x = 241,983.21

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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.