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Finding the Fourth Proportional to 405,580.64, 559,719.60 and 226,732.64

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Solution

The fourth proportional to 405,580.64, 559,719.60 and 226,732.64 is: 312,901.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,580.64 : 559,719.60 = 226,732.64 : x
  2. Step 2: Convert to fraction form
    405,580.64/559,719.60 = 226,732.64/x
  3. Step 3: Cross multiply
    405,580.64x = 559,719.60 × 226,732.64
  4. Step 4: Simplify right side
    405,580.64x = 126,906,702,567.74
  5. Step 5: Solve for x
    x = 126,906,702,567.74/405,580.64
  6. Step 6: Final answer
    x = 312,901.28

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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.