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Finding the Fourth Proportional to 345,023.80, 517,730.10 and 134,634.40

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Solution

The fourth proportional to 345,023.80, 517,730.10 and 134,634.40 is: 202,027.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,023.80 : 517,730.10 = 134,634.40 : x
  2. Step 2: Convert to fraction form
    345,023.80/517,730.10 = 134,634.40/x
  3. Step 3: Cross multiply
    345,023.80x = 517,730.10 × 134,634.40
  4. Step 4: Simplify right side
    345,023.80x = 69,704,281,375.44
  5. Step 5: Solve for x
    x = 69,704,281,375.44/345,023.80
  6. Step 6: Final answer
    x = 202,027.46

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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.