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Finding the Fourth Proportional to 312,294.16, 468,633.97 and 122,721.24

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Solution

The fourth proportional to 312,294.16, 468,633.97 and 122,721.24 is: 184,157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,294.16 : 468,633.97 = 122,721.24 : x
  2. Step 2: Convert to fraction form
    312,294.16/468,633.97 = 122,721.24/x
  3. Step 3: Cross multiply
    312,294.16x = 468,633.97 × 122,721.24
  4. Step 4: Simplify right side
    312,294.16x = 57,511,341,320.52
  5. Step 5: Solve for x
    x = 57,511,341,320.52/312,294.16
  6. Step 6: Final answer
    x = 184,157.60

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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.