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Finding the Fourth Proportional to 312,369.90, 468,549.38 and 122,849.95

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Solution

The fourth proportional to 312,369.90, 468,549.38 and 122,849.95 is: 184,272.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,369.90 : 468,549.38 = 122,849.95 : x
  2. Step 2: Convert to fraction form
    312,369.90/468,549.38 = 122,849.95/x
  3. Step 3: Cross multiply
    312,369.90x = 468,549.38 × 122,849.95
  4. Step 4: Simplify right side
    312,369.90x = 57,561,267,905.53
  5. Step 5: Solve for x
    x = 57,561,267,905.53/312,369.90
  6. Step 6: Final answer
    x = 184,272.77

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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.