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Finding the Fourth Proportional to 345,788.52, 518,745.14 and 156,338.06

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Solution

The fourth proportional to 345,788.52, 518,745.14 and 156,338.06 is: 234,535.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,788.52 : 518,745.14 = 156,338.06 : x
  2. Step 2: Convert to fraction form
    345,788.52/518,745.14 = 156,338.06/x
  3. Step 3: Cross multiply
    345,788.52x = 518,745.14 × 156,338.06
  4. Step 4: Simplify right side
    345,788.52x = 81,099,605,446.61
  5. Step 5: Solve for x
    x = 81,099,605,446.61/345,788.52
  6. Step 6: Final answer
    x = 234,535.27

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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.