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Finding the Fourth Proportional to 306,506.58, 422,941.92 and 170,508.38

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Solution

The fourth proportional to 306,506.58, 422,941.92 and 170,508.38 is: 235,280.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,506.58 : 422,941.92 = 170,508.38 : x
  2. Step 2: Convert to fraction form
    306,506.58/422,941.92 = 170,508.38/x
  3. Step 3: Cross multiply
    306,506.58x = 422,941.92 × 170,508.38
  4. Step 4: Simplify right side
    306,506.58x = 72,115,141,613.29
  5. Step 5: Solve for x
    x = 72,115,141,613.29/306,506.58
  6. Step 6: Final answer
    x = 235,280.89

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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.