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Finding the Fourth Proportional to 258,189.48, 386,455.40 and 137,945.94

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Solution

The fourth proportional to 258,189.48, 386,455.40 and 137,945.94 is: 206,476.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,189.48 : 386,455.40 = 137,945.94 : x
  2. Step 2: Convert to fraction form
    258,189.48/386,455.40 = 137,945.94/x
  3. Step 3: Cross multiply
    258,189.48x = 386,455.40 × 137,945.94
  4. Step 4: Simplify right side
    258,189.48x = 53,309,953,421.08
  5. Step 5: Solve for x
    x = 53,309,953,421.08/258,189.48
  6. Step 6: Final answer
    x = 206,476.09

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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.