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Finding the Fourth Proportional to 345,100.68, 517,775.59 and 120,494.21

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Solution

The fourth proportional to 345,100.68, 517,775.59 and 120,494.21 is: 180,784.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,100.68 : 517,775.59 = 120,494.21 : x
  2. Step 2: Convert to fraction form
    345,100.68/517,775.59 = 120,494.21/x
  3. Step 3: Cross multiply
    345,100.68x = 517,775.59 × 120,494.21
  4. Step 4: Simplify right side
    345,100.68x = 62,388,959,692.32
  5. Step 5: Solve for x
    x = 62,388,959,692.32/345,100.68
  6. Step 6: Final answer
    x = 180,784.81

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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.