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Finding the Fourth Proportional to 339,775.84, 509,804.16 and 171,206.08

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Solution

The fourth proportional to 339,775.84, 509,804.16 and 171,206.08 is: 256,879.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,775.84 : 509,804.16 = 171,206.08 : x
  2. Step 2: Convert to fraction form
    339,775.84/509,804.16 = 171,206.08/x
  3. Step 3: Cross multiply
    339,775.84x = 509,804.16 × 171,206.08
  4. Step 4: Simplify right side
    339,775.84x = 87,281,571,801.29
  5. Step 5: Solve for x
    x = 87,281,571,801.29/339,775.84
  6. Step 6: Final answer
    x = 256,879.86

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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.