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Finding the Fourth Proportional to 507,045, 760,668.98 and 187,198.81

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Solution

The fourth proportional to 507,045, 760,668.98 and 187,198.81 is: 280,835.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,045 : 760,668.98 = 187,198.81 : x
  2. Step 2: Convert to fraction form
    507,045/760,668.98 = 187,198.81/x
  3. Step 3: Cross multiply
    507,045x = 760,668.98 × 187,198.81
  4. Step 4: Simplify right side
    507,045x = 142,396,327,859.91
  5. Step 5: Solve for x
    x = 142,396,327,859.91/507,045
  6. Step 6: Final answer
    x = 280,835.68

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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.