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Finding the Fourth Proportional to 506,638.06, 699,129.03 and 280,283.56

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Solution

The fourth proportional to 506,638.06, 699,129.03 and 280,283.56 is: 386,773.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,638.06 : 699,129.03 = 280,283.56 : x
  2. Step 2: Convert to fraction form
    506,638.06/699,129.03 = 280,283.56/x
  3. Step 3: Cross multiply
    506,638.06x = 699,129.03 × 280,283.56
  4. Step 4: Simplify right side
    506,638.06x = 195,954,373,427.75
  5. Step 5: Solve for x
    x = 195,954,373,427.75/506,638.06
  6. Step 6: Final answer
    x = 386,773.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.