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Finding the Fourth Proportional to 460,044.78, 690,027.51 and 280,083.60

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Solution

The fourth proportional to 460,044.78, 690,027.51 and 280,083.60 is: 420,101.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,044.78 : 690,027.51 = 280,083.60 : x
  2. Step 2: Convert to fraction form
    460,044.78/690,027.51 = 280,083.60/x
  3. Step 3: Cross multiply
    460,044.78x = 690,027.51 × 280,083.60
  4. Step 4: Simplify right side
    460,044.78x = 193,265,389,099.84
  5. Step 5: Solve for x
    x = 193,265,389,099.84/460,044.78
  6. Step 6: Final answer
    x = 420,101.25

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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.