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Finding the Fourth Proportional to 340,930.96, 511,314.40 and 104,275.68

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Solution

The fourth proportional to 340,930.96, 511,314.40 and 104,275.68 is: 156,388.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,930.96 : 511,314.40 = 104,275.68 : x
  2. Step 2: Convert to fraction form
    340,930.96/511,314.40 = 104,275.68/x
  3. Step 3: Cross multiply
    340,930.96x = 511,314.40 × 104,275.68
  4. Step 4: Simplify right side
    340,930.96x = 53,317,656,753.79
  5. Step 5: Solve for x
    x = 53,317,656,753.79/340,930.96
  6. Step 6: Final answer
    x = 156,388.43

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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.