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Finding the Fourth Proportional to 314,900.40, 472,301.90 and 115,174.08

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Solution

The fourth proportional to 314,900.40, 472,301.90 and 115,174.08 is: 172,743.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,900.40 : 472,301.90 = 115,174.08 : x
  2. Step 2: Convert to fraction form
    314,900.40/472,301.90 = 115,174.08/x
  3. Step 3: Cross multiply
    314,900.40x = 472,301.90 × 115,174.08
  4. Step 4: Simplify right side
    314,900.40x = 54,396,936,814.75
  5. Step 5: Solve for x
    x = 54,396,936,814.75/314,900.40
  6. Step 6: Final answer
    x = 172,743.31

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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.