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Finding the Fourth Proportional to 339,857, 509,752.56 and 103,201.76

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Solution

The fourth proportional to 339,857, 509,752.56 and 103,201.76 is: 154,792.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,857 : 509,752.56 = 103,201.76 : x
  2. Step 2: Convert to fraction form
    339,857/509,752.56 = 103,201.76/x
  3. Step 3: Cross multiply
    339,857x = 509,752.56 × 103,201.76
  4. Step 4: Simplify right side
    339,857x = 52,607,361,356.51
  5. Step 5: Solve for x
    x = 52,607,361,356.51/339,857
  6. Step 6: Final answer
    x = 154,792.64

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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.