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Finding the Fourth Proportional to 245,457.81, 338,766.30 and 205,107.66

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Solution

The fourth proportional to 245,457.81, 338,766.30 and 205,107.66 is: 283,077.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,457.81 : 338,766.30 = 205,107.66 : x
  2. Step 2: Convert to fraction form
    245,457.81/338,766.30 = 205,107.66/x
  3. Step 3: Cross multiply
    245,457.81x = 338,766.30 × 205,107.66
  4. Step 4: Simplify right side
    245,457.81x = 69,483,563,079.86
  5. Step 5: Solve for x
    x = 69,483,563,079.86/245,457.81
  6. Step 6: Final answer
    x = 283,077.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.