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Finding the Fourth Proportional to 339,858.47, 509,754.71 and 103,203.20

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Solution

The fourth proportional to 339,858.47, 509,754.71 and 103,203.20 is: 154,794.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,858.47 : 509,754.71 = 103,203.20 : x
  2. Step 2: Convert to fraction form
    339,858.47/509,754.71 = 103,203.20/x
  3. Step 3: Cross multiply
    339,858.47x = 509,754.71 × 103,203.20
  4. Step 4: Simplify right side
    339,858.47x = 52,608,314,222.28
  5. Step 5: Solve for x
    x = 52,608,314,222.28/339,858.47
  6. Step 6: Final answer
    x = 154,794.77

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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.