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Finding the Fourth Proportional to 420,640.58, 580,481 and 229,653.98

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Solution

The fourth proportional to 420,640.58, 580,481 and 229,653.98 is: 316,920.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,640.58 : 580,481 = 229,653.98 : x
  2. Step 2: Convert to fraction form
    420,640.58/580,481 = 229,653.98/x
  3. Step 3: Cross multiply
    420,640.58x = 580,481 × 229,653.98
  4. Step 4: Simplify right side
    420,640.58x = 133,309,771,964.38
  5. Step 5: Solve for x
    x = 133,309,771,964.38/420,640.58
  6. Step 6: Final answer
    x = 316,920.85

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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.