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Finding the Fourth Proportional to 420,441.88, 580,222.26 and 229,467.64

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Solution

The fourth proportional to 420,441.88, 580,222.26 and 229,467.64 is: 316,672.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,441.88 : 580,222.26 = 229,467.64 : x
  2. Step 2: Convert to fraction form
    420,441.88/580,222.26 = 229,467.64/x
  3. Step 3: Cross multiply
    420,441.88x = 580,222.26 × 229,467.64
  4. Step 4: Simplify right side
    420,441.88x = 133,142,232,677.67
  5. Step 5: Solve for x
    x = 133,142,232,677.67/420,441.88
  6. Step 6: Final answer
    x = 316,672.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.