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Finding the Fourth Proportional to 460,546.81, 690,056.50 and 280,086.40

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Solution

The fourth proportional to 460,546.81, 690,056.50 and 280,086.40 is: 419,665.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,546.81 : 690,056.50 = 280,086.40 : x
  2. Step 2: Convert to fraction form
    460,546.81/690,056.50 = 280,086.40/x
  3. Step 3: Cross multiply
    460,546.81x = 690,056.50 × 280,086.40
  4. Step 4: Simplify right side
    460,546.81x = 193,275,440,881.60
  5. Step 5: Solve for x
    x = 193,275,440,881.60/460,546.81
  6. Step 6: Final answer
    x = 419,665.14

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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.