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Finding the Fourth Proportional to 411,990.48, 617,389.56 and 201,390.48

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Solution

The fourth proportional to 411,990.48, 617,389.56 and 201,390.48 is: 301,794.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,990.48 : 617,389.56 = 201,390.48 : x
  2. Step 2: Convert to fraction form
    411,990.48/617,389.56 = 201,390.48/x
  3. Step 3: Cross multiply
    411,990.48x = 617,389.56 × 201,390.48
  4. Step 4: Simplify right side
    411,990.48x = 124,336,379,835.39
  5. Step 5: Solve for x
    x = 124,336,379,835.39/411,990.48
  6. Step 6: Final answer
    x = 301,794.30

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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.