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Finding the Fourth Proportional to 460,512.88, 690,005.64 and 280,052.40

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Solution

The fourth proportional to 460,512.88, 690,005.64 and 280,052.40 is: 419,614.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,512.88 : 690,005.64 = 280,052.40 : x
  2. Step 2: Convert to fraction form
    460,512.88/690,005.64 = 280,052.40/x
  3. Step 3: Cross multiply
    460,512.88x = 690,005.64 × 280,052.40
  4. Step 4: Simplify right side
    460,512.88x = 193,237,735,495.54
  5. Step 5: Solve for x
    x = 193,237,735,495.54/460,512.88
  6. Step 6: Final answer
    x = 419,614.18

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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.