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Finding the Fourth Proportional to 300,899.76, 415,232.76 and 164,930.80

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Solution

The fourth proportional to 300,899.76, 415,232.76 and 164,930.80 is: 227,599.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,899.76 : 415,232.76 = 164,930.80 : x
  2. Step 2: Convert to fraction form
    300,899.76/415,232.76 = 164,930.80/x
  3. Step 3: Cross multiply
    300,899.76x = 415,232.76 × 164,930.80
  4. Step 4: Simplify right side
    300,899.76x = 68,484,671,293.01
  5. Step 5: Solve for x
    x = 68,484,671,293.01/300,899.76
  6. Step 6: Final answer
    x = 227,599.62

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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.