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Finding the Fourth Proportional to 492,077.70, 738,078.15 and 192,500.10

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Solution

The fourth proportional to 492,077.70, 738,078.15 and 192,500.10 is: 288,735.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,077.70 : 738,078.15 = 192,500.10 : x
  2. Step 2: Convert to fraction form
    492,077.70/738,078.15 = 192,500.10/x
  3. Step 3: Cross multiply
    492,077.70x = 738,078.15 × 192,500.10
  4. Step 4: Simplify right side
    492,077.70x = 142,080,117,682.82
  5. Step 5: Solve for x
    x = 142,080,117,682.82/492,077.70
  6. Step 6: Final answer
    x = 288,735.13

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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.