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Finding the Fourth Proportional to 392,066.50, 540,852.26 and 256,179.88

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Solution

The fourth proportional to 392,066.50, 540,852.26 and 256,179.88 is: 353,397.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,066.50 : 540,852.26 = 256,179.88 : x
  2. Step 2: Convert to fraction form
    392,066.50/540,852.26 = 256,179.88/x
  3. Step 3: Cross multiply
    392,066.50x = 540,852.26 × 256,179.88
  4. Step 4: Simplify right side
    392,066.50x = 138,555,467,064.53
  5. Step 5: Solve for x
    x = 138,555,467,064.53/392,066.50
  6. Step 6: Final answer
    x = 353,397.87

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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.