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Finding the Fourth Proportional to 477,195.53, 658,490.69 and 280,930.86

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Solution

The fourth proportional to 477,195.53, 658,490.69 and 280,930.86 is: 387,661.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,195.53 : 658,490.69 = 280,930.86 : x
  2. Step 2: Convert to fraction form
    477,195.53/658,490.69 = 280,930.86/x
  3. Step 3: Cross multiply
    477,195.53x = 658,490.69 × 280,930.86
  4. Step 4: Simplify right side
    477,195.53x = 184,990,356,546.02
  5. Step 5: Solve for x
    x = 184,990,356,546.02/477,195.53
  6. Step 6: Final answer
    x = 387,661.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.