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Finding the Fourth Proportional to 420,441, 580,220.88 and 229,466.64

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Solution

The fourth proportional to 420,441, 580,220.88 and 229,466.64 is: 316,670.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,441 : 580,220.88 = 229,466.64 : x
  2. Step 2: Convert to fraction form
    420,441/580,220.88 = 229,466.64/x
  3. Step 3: Cross multiply
    420,441x = 580,220.88 × 229,466.64
  4. Step 4: Simplify right side
    420,441x = 133,141,335,791.44
  5. Step 5: Solve for x
    x = 133,141,335,791.44/420,441
  6. Step 6: Final answer
    x = 316,670.68

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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.