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Finding the Fourth Proportional to 412,001.52, 617,846.76 and 190,230

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Solution

The fourth proportional to 412,001.52, 617,846.76 and 190,230 is: 285,273.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,001.52 : 617,846.76 = 190,230 : x
  2. Step 2: Convert to fraction form
    412,001.52/617,846.76 = 190,230/x
  3. Step 3: Cross multiply
    412,001.52x = 617,846.76 × 190,230
  4. Step 4: Simplify right side
    412,001.52x = 117,532,989,154.80
  5. Step 5: Solve for x
    x = 117,532,989,154.80/412,001.52
  6. Step 6: Final answer
    x = 285,273.19

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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.