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Finding the Fourth Proportional to 339,515.84, 509,513.07 and 159,609.47

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Solution

The fourth proportional to 339,515.84, 509,513.07 and 159,609.47 is: 239,526.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,515.84 : 509,513.07 = 159,609.47 : x
  2. Step 2: Convert to fraction form
    339,515.84/509,513.07 = 159,609.47/x
  3. Step 3: Cross multiply
    339,515.84x = 509,513.07 × 159,609.47
  4. Step 4: Simplify right side
    339,515.84x = 81,323,111,079.95
  5. Step 5: Solve for x
    x = 81,323,111,079.95/339,515.84
  6. Step 6: Final answer
    x = 239,526.71

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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.