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Finding the Fourth Proportional to 300,743.70, 415,021.77 and 164,777.10

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Solution

The fourth proportional to 300,743.70, 415,021.77 and 164,777.10 is: 227,389.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,743.70 : 415,021.77 = 164,777.10 : x
  2. Step 2: Convert to fraction form
    300,743.70/415,021.77 = 164,777.10/x
  3. Step 3: Cross multiply
    300,743.70x = 415,021.77 × 164,777.10
  4. Step 4: Simplify right side
    300,743.70x = 68,386,083,697.47
  5. Step 5: Solve for x
    x = 68,386,083,697.47/300,743.70
  6. Step 6: Final answer
    x = 227,389.91

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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.