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Finding the Fourth Proportional to 256,400.40, 353,826.72 and 143,222.88

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Solution

The fourth proportional to 256,400.40, 353,826.72 and 143,222.88 is: 197,644.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,400.40 : 353,826.72 = 143,222.88 : x
  2. Step 2: Convert to fraction form
    256,400.40/353,826.72 = 143,222.88/x
  3. Step 3: Cross multiply
    256,400.40x = 353,826.72 × 143,222.88
  4. Step 4: Simplify right side
    256,400.40x = 50,676,081,859.35
  5. Step 5: Solve for x
    x = 50,676,081,859.35/256,400.40
  6. Step 6: Final answer
    x = 197,644.32

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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.