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Finding the Fourth Proportional to 300,491.90, 414,663.03 and 164,499.78

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Solution

The fourth proportional to 300,491.90, 414,663.03 and 164,499.78 is: 227,001.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,491.90 : 414,663.03 = 164,499.78 : x
  2. Step 2: Convert to fraction form
    300,491.90/414,663.03 = 164,499.78/x
  3. Step 3: Cross multiply
    300,491.90x = 414,663.03 × 164,499.78
  4. Step 4: Simplify right side
    300,491.90x = 68,211,977,209.13
  5. Step 5: Solve for x
    x = 68,211,977,209.13/300,491.90
  6. Step 6: Final answer
    x = 227,001.06

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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.