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Finding the Fourth Proportional to 460,431.91, 690,124.14 and 280,119.86

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Solution

The fourth proportional to 460,431.91, 690,124.14 and 280,119.86 is: 419,861.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,431.91 : 690,124.14 = 280,119.86 : x
  2. Step 2: Convert to fraction form
    460,431.91/690,124.14 = 280,119.86/x
  3. Step 3: Cross multiply
    460,431.91x = 690,124.14 × 280,119.86
  4. Step 4: Simplify right side
    460,431.91x = 193,317,479,619.55
  5. Step 5: Solve for x
    x = 193,317,479,619.55/460,431.91
  6. Step 6: Final answer
    x = 419,861.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.