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Finding the Fourth Proportional to 312,357.62, 468,729.22 and 122,784.82

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Solution

The fourth proportional to 312,357.62, 468,729.22 and 122,784.82 is: 184,253.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,357.62 : 468,729.22 = 122,784.82 : x
  2. Step 2: Convert to fraction form
    312,357.62/468,729.22 = 122,784.82/x
  3. Step 3: Cross multiply
    312,357.62x = 468,729.22 × 122,784.82
  4. Step 4: Simplify right side
    312,357.62x = 57,552,832,906.44
  5. Step 5: Solve for x
    x = 57,552,832,906.44/312,357.62
  6. Step 6: Final answer
    x = 184,253.01

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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.