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Finding the Fourth Proportional to 345,200.80, 517,137.81 and 211,691.74

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Solution

The fourth proportional to 345,200.80, 517,137.81 and 211,691.74 is: 317,130.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,200.80 : 517,137.81 = 211,691.74 : x
  2. Step 2: Convert to fraction form
    345,200.80/517,137.81 = 211,691.74/x
  3. Step 3: Cross multiply
    345,200.80x = 517,137.81 × 211,691.74
  4. Step 4: Simplify right side
    345,200.80x = 109,473,802,818.69
  5. Step 5: Solve for x
    x = 109,473,802,818.69/345,200.80
  6. Step 6: Final answer
    x = 317,130.79

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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.