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Finding the Fourth Proportional to 263,503.66, 395,266.42 and 76,515.16

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Solution

The fourth proportional to 263,503.66, 395,266.42 and 76,515.16 is: 114,775.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,503.66 : 395,266.42 = 76,515.16 : x
  2. Step 2: Convert to fraction form
    263,503.66/395,266.42 = 76,515.16/x
  3. Step 3: Cross multiply
    263,503.66x = 395,266.42 × 76,515.16
  4. Step 4: Simplify right side
    263,503.66x = 30,243,871,392.60
  5. Step 5: Solve for x
    x = 30,243,871,392.60/263,503.66
  6. Step 6: Final answer
    x = 114,775.91

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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.