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Finding the Fourth Proportional to 345,100.16, 517,774.80 and 120,493.68

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Solution

The fourth proportional to 345,100.16, 517,774.80 and 120,493.68 is: 180,784.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,100.16 : 517,774.80 = 120,493.68 : x
  2. Step 2: Convert to fraction form
    345,100.16/517,774.80 = 120,493.68/x
  3. Step 3: Cross multiply
    345,100.16x = 517,774.80 × 120,493.68
  4. Step 4: Simplify right side
    345,100.16x = 62,388,591,063.26
  5. Step 5: Solve for x
    x = 62,388,591,063.26/345,100.16
  6. Step 6: Final answer
    x = 180,784.01

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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.