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Finding the Fourth Proportional to 345,740, 518,697.52 and 96,422

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Solution

The fourth proportional to 345,740, 518,697.52 and 96,422 is: 144,657.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,740 : 518,697.52 = 96,422 : x
  2. Step 2: Convert to fraction form
    345,740/518,697.52 = 96,422/x
  3. Step 3: Cross multiply
    345,740x = 518,697.52 × 96,422
  4. Step 4: Simplify right side
    345,740x = 50,013,852,273.44
  5. Step 5: Solve for x
    x = 50,013,852,273.44/345,740
  6. Step 6: Final answer
    x = 144,657.41

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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.