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Finding the Fourth Proportional to 205,655.60, 308,483.40 and 173,178.65

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Solution

The fourth proportional to 205,655.60, 308,483.40 and 173,178.65 is: 259,767.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,655.60 : 308,483.40 = 173,178.65 : x
  2. Step 2: Convert to fraction form
    205,655.60/308,483.40 = 173,178.65/x
  3. Step 3: Cross multiply
    205,655.60x = 308,483.40 × 173,178.65
  4. Step 4: Simplify right side
    205,655.60x = 53,422,738,759.41
  5. Step 5: Solve for x
    x = 53,422,738,759.41/205,655.60
  6. Step 6: Final answer
    x = 259,767.98

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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.