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Finding the Fourth Proportional to 442,756.36, 664,068.32 and 122,874.50

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Solution

The fourth proportional to 442,756.36, 664,068.32 and 122,874.50 is: 184,293.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,756.36 : 664,068.32 = 122,874.50 : x
  2. Step 2: Convert to fraction form
    442,756.36/664,068.32 = 122,874.50/x
  3. Step 3: Cross multiply
    442,756.36x = 664,068.32 × 122,874.50
  4. Step 4: Simplify right side
    442,756.36x = 81,597,062,171.47
  5. Step 5: Solve for x
    x = 81,597,062,171.47/442,756.36
  6. Step 6: Final answer
    x = 184,293.37

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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.