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Finding the Fourth Proportional to 419,154.81, 578,433.71 and 228,169.64

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Solution

The fourth proportional to 419,154.81, 578,433.71 and 228,169.64 is: 314,874.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,154.81 : 578,433.71 = 228,169.64 : x
  2. Step 2: Convert to fraction form
    419,154.81/578,433.71 = 228,169.64/x
  3. Step 3: Cross multiply
    419,154.81x = 578,433.71 × 228,169.64
  4. Step 4: Simplify right side
    419,154.81x = 131,981,011,374.56
  5. Step 5: Solve for x
    x = 131,981,011,374.56/419,154.81
  6. Step 6: Final answer
    x = 314,874.14

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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.