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Finding the Fourth Proportional to 323,573.64, 446,400 and 214,729.20

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Solution

The fourth proportional to 323,573.64, 446,400 and 214,729.20 is: 296,238.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,573.64 : 446,400 = 214,729.20 : x
  2. Step 2: Convert to fraction form
    323,573.64/446,400 = 214,729.20/x
  3. Step 3: Cross multiply
    323,573.64x = 446,400 × 214,729.20
  4. Step 4: Simplify right side
    323,573.64x = 95,855,114,880
  5. Step 5: Solve for x
    x = 95,855,114,880/323,573.64
  6. Step 6: Final answer
    x = 296,238.95

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1.5x scale

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.