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Finding the Fourth Proportional to 500,997.72, 691,404.66 and 286,207.50

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Solution

The fourth proportional to 500,997.72, 691,404.66 and 286,207.50 is: 394,982.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,997.72 : 691,404.66 = 286,207.50 : x
  2. Step 2: Convert to fraction form
    500,997.72/691,404.66 = 286,207.50/x
  3. Step 3: Cross multiply
    500,997.72x = 691,404.66 × 286,207.50
  4. Step 4: Simplify right side
    500,997.72x = 197,885,199,226.95
  5. Step 5: Solve for x
    x = 197,885,199,226.95/500,997.72
  6. Step 6: Final answer
    x = 394,982.24

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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.