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Finding the Fourth Proportional to 357,342.72, 493,133.92 and 196,208.22

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Solution

The fourth proportional to 357,342.72, 493,133.92 and 196,208.22 is: 270,767.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,342.72 : 493,133.92 = 196,208.22 : x
  2. Step 2: Convert to fraction form
    357,342.72/493,133.92 = 196,208.22/x
  3. Step 3: Cross multiply
    357,342.72x = 493,133.92 × 196,208.22
  4. Step 4: Simplify right side
    357,342.72x = 96,756,928,664.82
  5. Step 5: Solve for x
    x = 96,756,928,664.82/357,342.72
  6. Step 6: Final answer
    x = 270,767.87

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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.