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Finding the Fourth Proportional to 384,185.80, 576,352.14 and 147,509.56

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Solution

The fourth proportional to 384,185.80, 576,352.14 and 147,509.56 is: 221,292.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,185.80 : 576,352.14 = 147,509.56 : x
  2. Step 2: Convert to fraction form
    384,185.80/576,352.14 = 147,509.56/x
  3. Step 3: Cross multiply
    384,185.80x = 576,352.14 × 147,509.56
  4. Step 4: Simplify right side
    384,185.80x = 85,017,450,576.46
  5. Step 5: Solve for x
    x = 85,017,450,576.46/384,185.80
  6. Step 6: Final answer
    x = 221,292.54

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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.