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Finding the Fourth Proportional to 320,078.77, 480,220.71 and 224,115.94

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Solution

The fourth proportional to 320,078.77, 480,220.71 and 224,115.94 is: 336,245.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,078.77 : 480,220.71 = 224,115.94 : x
  2. Step 2: Convert to fraction form
    320,078.77/480,220.71 = 224,115.94/x
  3. Step 3: Cross multiply
    320,078.77x = 480,220.71 × 224,115.94
  4. Step 4: Simplify right side
    320,078.77x = 107,625,113,428.01
  5. Step 5: Solve for x
    x = 107,625,113,428.01/320,078.77
  6. Step 6: Final answer
    x = 336,245.72

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1.5x scale

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.