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Finding the Fourth Proportional to 318,741.81, 439,879.86 and 180,930.44

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Solution

The fourth proportional to 318,741.81, 439,879.86 and 180,930.44 is: 249,693.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,741.81 : 439,879.86 = 180,930.44 : x
  2. Step 2: Convert to fraction form
    318,741.81/439,879.86 = 180,930.44/x
  3. Step 3: Cross multiply
    318,741.81x = 439,879.86 × 180,930.44
  4. Step 4: Simplify right side
    318,741.81x = 79,587,654,417.54
  5. Step 5: Solve for x
    x = 79,587,654,417.54/318,741.81
  6. Step 6: Final answer
    x = 249,693.17

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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.