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Finding the Fourth Proportional to 420,558, 580,423.50 and 277,615.68

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Solution

The fourth proportional to 420,558, 580,423.50 and 277,615.68 is: 383,144.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,558 : 580,423.50 = 277,615.68 : x
  2. Step 2: Convert to fraction form
    420,558/580,423.50 = 277,615.68/x
  3. Step 3: Cross multiply
    420,558x = 580,423.50 × 277,615.68
  4. Step 4: Simplify right side
    420,558x = 161,134,664,640.48
  5. Step 5: Solve for x
    x = 161,134,664,640.48/420,558
  6. Step 6: Final answer
    x = 383,144.93

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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.