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Finding the Fourth Proportional to 229,919.40, 344,879.10 and 205,813.80

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Solution

The fourth proportional to 229,919.40, 344,879.10 and 205,813.80 is: 308,720.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,919.40 : 344,879.10 = 205,813.80 : x
  2. Step 2: Convert to fraction form
    229,919.40/344,879.10 = 205,813.80/x
  3. Step 3: Cross multiply
    229,919.40x = 344,879.10 × 205,813.80
  4. Step 4: Simplify right side
    229,919.40x = 70,980,878,111.58
  5. Step 5: Solve for x
    x = 70,980,878,111.58/229,919.40
  6. Step 6: Final answer
    x = 308,720.70

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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.