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Finding the Fourth Proportional to 339,815.54, 509,386.57 and 159,578.32

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Solution

The fourth proportional to 339,815.54, 509,386.57 and 159,578.32 is: 239,209.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,815.54 : 509,386.57 = 159,578.32 : x
  2. Step 2: Convert to fraction form
    339,815.54/509,386.57 = 159,578.32/x
  3. Step 3: Cross multiply
    339,815.54x = 509,386.57 × 159,578.32
  4. Step 4: Simplify right side
    339,815.54x = 81,287,051,398.75
  5. Step 5: Solve for x
    x = 81,287,051,398.75/339,815.54
  6. Step 6: Final answer
    x = 239,209.34

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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.