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Finding the Fourth Proportional to 420,441.90, 580,211.43 and 229,459.50

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Solution

The fourth proportional to 420,441.90, 580,211.43 and 229,459.50 is: 316,654.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,441.90 : 580,211.43 = 229,459.50 : x
  2. Step 2: Convert to fraction form
    420,441.90/580,211.43 = 229,459.50/x
  3. Step 3: Cross multiply
    420,441.90x = 580,211.43 × 229,459.50
  4. Step 4: Simplify right side
    420,441.90x = 133,135,024,622.09
  5. Step 5: Solve for x
    x = 133,135,024,622.09/420,441.90
  6. Step 6: Final answer
    x = 316,654.99

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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.