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Finding the Fourth Proportional to 414,606.01, 621,912.50 and 115,109.95

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Solution

The fourth proportional to 414,606.01, 621,912.50 and 115,109.95 is: 172,665.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,606.01 : 621,912.50 = 115,109.95 : x
  2. Step 2: Convert to fraction form
    414,606.01/621,912.50 = 115,109.95/x
  3. Step 3: Cross multiply
    414,606.01x = 621,912.50 × 115,109.95
  4. Step 4: Simplify right side
    414,606.01x = 71,588,316,779.38
  5. Step 5: Solve for x
    x = 71,588,316,779.38/414,606.01
  6. Step 6: Final answer
    x = 172,665.89

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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.