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Finding the Fourth Proportional to 420,611.67, 580,441.15 and 229,625.07

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Solution

The fourth proportional to 420,611.67, 580,441.15 and 229,625.07 is: 316,880.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,611.67 : 580,441.15 = 229,625.07 : x
  2. Step 2: Convert to fraction form
    420,611.67/580,441.15 = 229,625.07/x
  3. Step 3: Cross multiply
    420,611.67x = 580,441.15 × 229,625.07
  4. Step 4: Simplify right side
    420,611.67x = 133,283,839,699.63
  5. Step 5: Solve for x
    x = 133,283,839,699.63/420,611.67
  6. Step 6: Final answer
    x = 316,880.98

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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.