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Finding the Fourth Proportional to 356,326.56, 491,608.56 and 203,254.80

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Solution

The fourth proportional to 356,326.56, 491,608.56 and 203,254.80 is: 280,421.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,326.56 : 491,608.56 = 203,254.80 : x
  2. Step 2: Convert to fraction form
    356,326.56/491,608.56 = 203,254.80/x
  3. Step 3: Cross multiply
    356,326.56x = 491,608.56 × 203,254.80
  4. Step 4: Simplify right side
    356,326.56x = 99,921,799,541.09
  5. Step 5: Solve for x
    x = 99,921,799,541.09/356,326.56
  6. Step 6: Final answer
    x = 280,421.98

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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.