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Finding the Fourth Proportional to 340,340, 510,514.11 and 103,684.73

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Solution

The fourth proportional to 340,340, 510,514.11 and 103,684.73 is: 155,528.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,340 : 510,514.11 = 103,684.73 : x
  2. Step 2: Convert to fraction form
    340,340/510,514.11 = 103,684.73/x
  3. Step 3: Cross multiply
    340,340x = 510,514.11 × 103,684.73
  4. Step 4: Simplify right side
    340,340x = 52,932,517,656.54
  5. Step 5: Solve for x
    x = 52,932,517,656.54/340,340
  6. Step 6: Final answer
    x = 155,528.35

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1.5x scale

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.