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Finding the Fourth Proportional to 405,515.64, 559,588.92 and 224,216.64

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Solution

The fourth proportional to 405,515.64, 559,588.92 and 224,216.64 is: 309,406.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,515.64 : 559,588.92 = 224,216.64 : x
  2. Step 2: Convert to fraction form
    405,515.64/559,588.92 = 224,216.64/x
  3. Step 3: Cross multiply
    405,515.64x = 559,588.92 × 224,216.64
  4. Step 4: Simplify right side
    405,515.64x = 125,469,147,423.63
  5. Step 5: Solve for x
    x = 125,469,147,423.63/405,515.64
  6. Step 6: Final answer
    x = 309,406.43

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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.