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Finding the Fourth Proportional to 357,422.93, 493,243.63 and 196,280.66

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Solution

The fourth proportional to 357,422.93, 493,243.63 and 196,280.66 is: 270,867.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,422.93 : 493,243.63 = 196,280.66 : x
  2. Step 2: Convert to fraction form
    357,422.93/493,243.63 = 196,280.66/x
  3. Step 3: Cross multiply
    357,422.93x = 493,243.63 × 196,280.66
  4. Step 4: Simplify right side
    357,422.93x = 96,814,184,255.79
  5. Step 5: Solve for x
    x = 96,814,184,255.79/357,422.93
  6. Step 6: Final answer
    x = 270,867.30

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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.