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Finding the Fourth Proportional to 343,728.86, 474,345.81 and 192,825.86

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Solution

The fourth proportional to 343,728.86, 474,345.81 and 192,825.86 is: 266,099.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,728.86 : 474,345.81 = 192,825.86 : x
  2. Step 2: Convert to fraction form
    343,728.86/474,345.81 = 192,825.86/x
  3. Step 3: Cross multiply
    343,728.86x = 474,345.81 × 192,825.86
  4. Step 4: Simplify right side
    343,728.86x = 91,466,136,378.92
  5. Step 5: Solve for x
    x = 91,466,136,378.92/343,728.86
  6. Step 6: Final answer
    x = 266,099.67

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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.