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Finding the Fourth Proportional to 685,638, 1,028,459.43 and 187,002

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Solution

The fourth proportional to 685,638, 1,028,459.43 and 187,002 is: 280,503.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,638 : 1,028,459.43 = 187,002 : x
  2. Step 2: Convert to fraction form
    685,638/1,028,459.43 = 187,002/x
  3. Step 3: Cross multiply
    685,638x = 1,028,459.43 × 187,002
  4. Step 4: Simplify right side
    685,638x = 192,323,970,328.86
  5. Step 5: Solve for x
    x = 192,323,970,328.86/685,638
  6. Step 6: Final answer
    x = 280,503.66

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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.