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Finding the Fourth Proportional to 442,865.20, 664,384.20 and 190,145.20

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Solution

The fourth proportional to 442,865.20, 664,384.20 and 190,145.20 is: 285,254.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,865.20 : 664,384.20 = 190,145.20 : x
  2. Step 2: Convert to fraction form
    442,865.20/664,384.20 = 190,145.20/x
  3. Step 3: Cross multiply
    442,865.20x = 664,384.20 × 190,145.20
  4. Step 4: Simplify right side
    442,865.20x = 126,329,466,585.84
  5. Step 5: Solve for x
    x = 126,329,466,585.84/442,865.20
  6. Step 6: Final answer
    x = 285,254.90

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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.