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Finding the Fourth Proportional to 298,287.20, 411,636.39 and 164,151.20

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Solution

The fourth proportional to 298,287.20, 411,636.39 and 164,151.20 is: 226,528.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,287.20 : 411,636.39 = 164,151.20 : x
  2. Step 2: Convert to fraction form
    298,287.20/411,636.39 = 164,151.20/x
  3. Step 3: Cross multiply
    298,287.20x = 411,636.39 × 164,151.20
  4. Step 4: Simplify right side
    298,287.20x = 67,570,605,323.99
  5. Step 5: Solve for x
    x = 67,570,605,323.99/298,287.20
  6. Step 6: Final answer
    x = 226,528.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.