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Finding the Fourth Proportional to 266,751, 399,682.25 and 187,699.14

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Solution

The fourth proportional to 266,751, 399,682.25 and 187,699.14 is: 281,236.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,751 : 399,682.25 = 187,699.14 : x
  2. Step 2: Convert to fraction form
    266,751/399,682.25 = 187,699.14/x
  3. Step 3: Cross multiply
    266,751x = 399,682.25 × 187,699.14
  4. Step 4: Simplify right side
    266,751x = 75,020,014,598.27
  5. Step 5: Solve for x
    x = 75,020,014,598.27/266,751
  6. Step 6: Final answer
    x = 281,236.11

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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.