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Finding the Fourth Proportional to 405,622.32, 559,760.08 and 226,774.32

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Solution

The fourth proportional to 405,622.32, 559,760.08 and 226,774.32 is: 312,949.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,622.32 : 559,760.08 = 226,774.32 : x
  2. Step 2: Convert to fraction form
    405,622.32/559,760.08 = 226,774.32/x
  3. Step 3: Cross multiply
    405,622.32x = 559,760.08 × 226,774.32
  4. Step 4: Simplify right side
    405,622.32x = 126,939,211,505.15
  5. Step 5: Solve for x
    x = 126,939,211,505.15/405,622.32
  6. Step 6: Final answer
    x = 312,949.28

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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.