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Finding the Fourth Proportional to 320,076.77, 480,217.71 and 224,113.94

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Solution

The fourth proportional to 320,076.77, 480,217.71 and 224,113.94 is: 336,242.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,076.77 : 480,217.71 = 224,113.94 : x
  2. Step 2: Convert to fraction form
    320,076.77/480,217.71 = 224,113.94/x
  3. Step 3: Cross multiply
    320,076.77x = 480,217.71 × 224,113.94
  4. Step 4: Simplify right side
    320,076.77x = 107,623,483,286.03
  5. Step 5: Solve for x
    x = 107,623,483,286.03/320,076.77
  6. Step 6: Final answer
    x = 336,242.72

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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.