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Finding the Fourth Proportional to 339,338.75, 509,070.66 and 111,647.16

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Solution

The fourth proportional to 339,338.75, 509,070.66 and 111,647.16 is: 167,491.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,338.75 : 509,070.66 = 111,647.16 : x
  2. Step 2: Convert to fraction form
    339,338.75/509,070.66 = 111,647.16/x
  3. Step 3: Cross multiply
    339,338.75x = 509,070.66 × 111,647.16
  4. Step 4: Simplify right side
    339,338.75x = 56,836,295,756.02
  5. Step 5: Solve for x
    x = 56,836,295,756.02/339,338.75
  6. Step 6: Final answer
    x = 167,491.32

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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.