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Finding the Fourth Proportional to 420,820.84, 580,710.90 and 229,796.92

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Solution

The fourth proportional to 420,820.84, 580,710.90 and 229,796.92 is: 317,107.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,820.84 : 580,710.90 = 229,796.92 : x
  2. Step 2: Convert to fraction form
    420,820.84/580,710.90 = 229,796.92/x
  3. Step 3: Cross multiply
    420,820.84x = 580,710.90 × 229,796.92
  4. Step 4: Simplify right side
    420,820.84x = 133,445,576,230.43
  5. Step 5: Solve for x
    x = 133,445,576,230.43/420,820.84
  6. Step 6: Final answer
    x = 317,107.81

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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.