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Finding the Fourth Proportional to 289,156.05, 399,035.30 and 161,831.65

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Solution

The fourth proportional to 289,156.05, 399,035.30 and 161,831.65 is: 223,327.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,156.05 : 399,035.30 = 161,831.65 : x
  2. Step 2: Convert to fraction form
    289,156.05/399,035.30 = 161,831.65/x
  3. Step 3: Cross multiply
    289,156.05x = 399,035.30 × 161,831.65
  4. Step 4: Simplify right side
    289,156.05x = 64,576,539,200.50
  5. Step 5: Solve for x
    x = 64,576,539,200.50/289,156.05
  6. Step 6: Final answer
    x = 223,327.64

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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.