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Finding the Fourth Proportional to 460,513.38, 690,006.39 and 280,052.90

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Solution

The fourth proportional to 460,513.38, 690,006.39 and 280,052.90 is: 419,614.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,513.38 : 690,006.39 = 280,052.90 : x
  2. Step 2: Convert to fraction form
    460,513.38/690,006.39 = 280,052.90/x
  3. Step 3: Cross multiply
    460,513.38x = 690,006.39 × 280,052.90
  4. Step 4: Simplify right side
    460,513.38x = 193,238,290,538.03
  5. Step 5: Solve for x
    x = 193,238,290,538.03/460,513.38
  6. Step 6: Final answer
    x = 419,614.93

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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.