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Finding the Fourth Proportional to 356,502.07, 491,965.14 and 195,353.65

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Solution

The fourth proportional to 356,502.07, 491,965.14 and 195,353.65 is: 269,583.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,502.07 : 491,965.14 = 195,353.65 : x
  2. Step 2: Convert to fraction form
    356,502.07/491,965.14 = 195,353.65/x
  3. Step 3: Cross multiply
    356,502.07x = 491,965.14 × 195,353.65
  4. Step 4: Simplify right side
    356,502.07x = 96,107,185,771.76
  5. Step 5: Solve for x
    x = 96,107,185,771.76/356,502.07
  6. Step 6: Final answer
    x = 269,583.81

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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.