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Finding the Fourth Proportional to 420,553.96, 580,355.94 and 229,566.76

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Solution

The fourth proportional to 420,553.96, 580,355.94 and 229,566.76 is: 316,797.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,553.96 : 580,355.94 = 229,566.76 : x
  2. Step 2: Convert to fraction form
    420,553.96/580,355.94 = 229,566.76/x
  3. Step 3: Cross multiply
    420,553.96x = 580,355.94 × 229,566.76
  4. Step 4: Simplify right side
    420,553.96x = 133,230,432,792.55
  5. Step 5: Solve for x
    x = 133,230,432,792.55/420,553.96
  6. Step 6: Final answer
    x = 316,797.48

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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.