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Finding the Fourth Proportional to 492,004.80, 738,136.80 and 176,428.80

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Solution

The fourth proportional to 492,004.80, 738,136.80 and 176,428.80 is: 264,689.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,004.80 : 738,136.80 = 176,428.80 : x
  2. Step 2: Convert to fraction form
    492,004.80/738,136.80 = 176,428.80/x
  3. Step 3: Cross multiply
    492,004.80x = 738,136.80 × 176,428.80
  4. Step 4: Simplify right side
    492,004.80x = 130,228,589,859.84
  5. Step 5: Solve for x
    x = 130,228,589,859.84/492,004.80
  6. Step 6: Final answer
    x = 264,689.67

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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.