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Finding the Fourth Proportional to 312,048, 430,623.90 and 168,805.98

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Solution

The fourth proportional to 312,048, 430,623.90 and 168,805.98 is: 232,950.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,048 : 430,623.90 = 168,805.98 : x
  2. Step 2: Convert to fraction form
    312,048/430,623.90 = 168,805.98/x
  3. Step 3: Cross multiply
    312,048x = 430,623.90 × 168,805.98
  4. Step 4: Simplify right side
    312,048x = 72,691,889,450.92
  5. Step 5: Solve for x
    x = 72,691,889,450.92/312,048
  6. Step 6: Final answer
    x = 232,950.99

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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.