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Finding the Fourth Proportional to 420,858.38, 580,787.42 and 229,871.72

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Solution

The fourth proportional to 420,858.38, 580,787.42 and 229,871.72 is: 317,224.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,858.38 : 580,787.42 = 229,871.72 : x
  2. Step 2: Convert to fraction form
    420,858.38/580,787.42 = 229,871.72/x
  3. Step 3: Cross multiply
    420,858.38x = 580,787.42 × 229,871.72
  4. Step 4: Simplify right side
    420,858.38x = 133,506,603,492.37
  5. Step 5: Solve for x
    x = 133,506,603,492.37/420,858.38
  6. Step 6: Final answer
    x = 317,224.53

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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.