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Finding the Fourth Proportional to 339,430.38, 509,211.18 and 114,827.31

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Solution

The fourth proportional to 339,430.38, 509,211.18 and 114,827.31 is: 172,263.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,430.38 : 509,211.18 = 114,827.31 : x
  2. Step 2: Convert to fraction form
    339,430.38/509,211.18 = 114,827.31/x
  3. Step 3: Cross multiply
    339,430.38x = 509,211.18 × 114,827.31
  4. Step 4: Simplify right side
    339,430.38x = 58,471,350,021.33
  5. Step 5: Solve for x
    x = 58,471,350,021.33/339,430.38
  6. Step 6: Final answer
    x = 172,263.16

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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.