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Finding the Fourth Proportional to 420,846.90, 580,768.72 and 229,860.74

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Solution

The fourth proportional to 420,846.90, 580,768.72 and 229,860.74 is: 317,207.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,846.90 : 580,768.72 = 229,860.74 : x
  2. Step 2: Convert to fraction form
    420,846.90/580,768.72 = 229,860.74/x
  3. Step 3: Cross multiply
    420,846.90x = 580,768.72 × 229,860.74
  4. Step 4: Simplify right side
    420,846.90x = 133,495,928,625.32
  5. Step 5: Solve for x
    x = 133,495,928,625.32/420,846.90
  6. Step 6: Final answer
    x = 317,207.83

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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.