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Finding the Fourth Proportional to 405,459.90, 559,491.80 and 224,142.60

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Solution

The fourth proportional to 405,459.90, 559,491.80 and 224,142.60 is: 309,293.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,459.90 : 559,491.80 = 224,142.60 : x
  2. Step 2: Convert to fraction form
    405,459.90/559,491.80 = 224,142.60/x
  3. Step 3: Cross multiply
    405,459.90x = 559,491.80 × 224,142.60
  4. Step 4: Simplify right side
    405,459.90x = 125,405,945,609.97
  5. Step 5: Solve for x
    x = 125,405,945,609.97/405,459.90
  6. Step 6: Final answer
    x = 309,293.09

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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.