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Finding the Fourth Proportional to 339,502.28, 511,284.50 and 309,235.57

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Solution

The fourth proportional to 339,502.28, 511,284.50 and 309,235.57 is: 465,703.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,502.28 : 511,284.50 = 309,235.57 : x
  2. Step 2: Convert to fraction form
    339,502.28/511,284.50 = 309,235.57/x
  3. Step 3: Cross multiply
    339,502.28x = 511,284.50 × 309,235.57
  4. Step 4: Simplify right side
    339,502.28x = 158,107,353,789.67
  5. Step 5: Solve for x
    x = 158,107,353,789.67/339,502.28
  6. Step 6: Final answer
    x = 465,703.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.