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Finding the Fourth Proportional to 420,361.17, 580,093.59 and 229,377.75

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Solution

The fourth proportional to 420,361.17, 580,093.59 and 229,377.75 is: 316,538.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,361.17 : 580,093.59 = 229,377.75 : x
  2. Step 2: Convert to fraction form
    420,361.17/580,093.59 = 229,377.75/x
  3. Step 3: Cross multiply
    420,361.17x = 580,093.59 × 229,377.75
  4. Step 4: Simplify right side
    420,361.17x = 133,060,562,463.62
  5. Step 5: Solve for x
    x = 133,060,562,463.62/420,361.17
  6. Step 6: Final answer
    x = 316,538.66

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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.