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Finding the Fourth Proportional to 405,420.64, 559,481.12 and 226,572.64

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Solution

The fourth proportional to 405,420.64, 559,481.12 and 226,572.64 is: 312,670.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,420.64 : 559,481.12 = 226,572.64 : x
  2. Step 2: Convert to fraction form
    405,420.64/559,481.12 = 226,572.64/x
  3. Step 3: Cross multiply
    405,420.64x = 559,481.12 × 226,572.64
  4. Step 4: Simplify right side
    405,420.64x = 126,763,114,388.56
  5. Step 5: Solve for x
    x = 126,763,114,388.56/405,420.64
  6. Step 6: Final answer
    x = 312,670.60

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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.