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Finding the Fourth Proportional to 491,178.30, 735,890.93 and 266,395.37

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Solution

The fourth proportional to 491,178.30, 735,890.93 and 266,395.37 is: 399,117.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,178.30 : 735,890.93 = 266,395.37 : x
  2. Step 2: Convert to fraction form
    491,178.30/735,890.93 = 266,395.37/x
  3. Step 3: Cross multiply
    491,178.30x = 735,890.93 × 266,395.37
  4. Step 4: Simplify right side
    491,178.30x = 196,037,936,576.99
  5. Step 5: Solve for x
    x = 196,037,936,576.99/491,178.30
  6. Step 6: Final answer
    x = 399,117.67

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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.