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Finding the Fourth Proportional to 497,652.70, 686,757.27 and 282,775.90

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Solution

The fourth proportional to 497,652.70, 686,757.27 and 282,775.90 is: 390,228.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,652.70 : 686,757.27 = 282,775.90 : x
  2. Step 2: Convert to fraction form
    497,652.70/686,757.27 = 282,775.90/x
  3. Step 3: Cross multiply
    497,652.70x = 686,757.27 × 282,775.90
  4. Step 4: Simplify right side
    497,652.70x = 194,198,405,105.79
  5. Step 5: Solve for x
    x = 194,198,405,105.79/497,652.70
  6. Step 6: Final answer
    x = 390,228.78

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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.