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Finding the Fourth Proportional to 504,981.84, 758,481.60 and 315,778.80

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Solution

The fourth proportional to 504,981.84, 758,481.60 and 315,778.80 is: 474,299.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,981.84 : 758,481.60 = 315,778.80 : x
  2. Step 2: Convert to fraction form
    504,981.84/758,481.60 = 315,778.80/x
  3. Step 3: Cross multiply
    504,981.84x = 758,481.60 × 315,778.80
  4. Step 4: Simplify right side
    504,981.84x = 239,512,409,470.08
  5. Step 5: Solve for x
    x = 239,512,409,470.08/504,981.84
  6. Step 6: Final answer
    x = 474,299.05

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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.