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Finding the Fourth Proportional to 357,490.72, 493,343.13 and 196,360.66

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Solution

The fourth proportional to 357,490.72, 493,343.13 and 196,360.66 is: 270,980.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,490.72 : 493,343.13 = 196,360.66 : x
  2. Step 2: Convert to fraction form
    357,490.72/493,343.13 = 196,360.66/x
  3. Step 3: Cross multiply
    357,490.72x = 493,343.13 × 196,360.66
  4. Step 4: Simplify right side
    357,490.72x = 96,873,182,613.27
  5. Step 5: Solve for x
    x = 96,873,182,613.27/357,490.72
  6. Step 6: Final answer
    x = 270,980.97

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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.