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Finding the Fourth Proportional to 317,930.16, 438,743.52 and 174,690

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Solution

The fourth proportional to 317,930.16, 438,743.52 and 174,690 is: 241,072.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,930.16 : 438,743.52 = 174,690 : x
  2. Step 2: Convert to fraction form
    317,930.16/438,743.52 = 174,690/x
  3. Step 3: Cross multiply
    317,930.16x = 438,743.52 × 174,690
  4. Step 4: Simplify right side
    317,930.16x = 76,644,105,508.80
  5. Step 5: Solve for x
    x = 76,644,105,508.80/317,930.16
  6. Step 6: Final answer
    x = 241,072.14

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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.