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Finding the Fourth Proportional to 313,382.52, 470,122.99 and 102,971.25

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Solution

The fourth proportional to 313,382.52, 470,122.99 and 102,971.25 is: 154,473.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,382.52 : 470,122.99 = 102,971.25 : x
  2. Step 2: Convert to fraction form
    313,382.52/470,122.99 = 102,971.25/x
  3. Step 3: Cross multiply
    313,382.52x = 470,122.99 × 102,971.25
  4. Step 4: Simplify right side
    313,382.52x = 48,409,151,676.61
  5. Step 5: Solve for x
    x = 48,409,151,676.61/313,382.52
  6. Step 6: Final answer
    x = 154,473.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.