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Finding the Fourth Proportional to 266,989.46, 400,401.54 and 77,463.74

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Solution

The fourth proportional to 266,989.46, 400,401.54 and 77,463.74 is: 116,171.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,989.46 : 400,401.54 = 77,463.74 : x
  2. Step 2: Convert to fraction form
    266,989.46/400,401.54 = 77,463.74/x
  3. Step 3: Cross multiply
    266,989.46x = 400,401.54 × 77,463.74
  4. Step 4: Simplify right side
    266,989.46x = 31,016,600,790.16
  5. Step 5: Solve for x
    x = 31,016,600,790.16/266,989.46
  6. Step 6: Final answer
    x = 116,171.63

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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.