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Finding the Fourth Proportional to 470,825.29, 649,743 and 255,965.50

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Solution

The fourth proportional to 470,825.29, 649,743 and 255,965.50 is: 353,234.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,825.29 : 649,743 = 255,965.50 : x
  2. Step 2: Convert to fraction form
    470,825.29/649,743 = 255,965.50/x
  3. Step 3: Cross multiply
    470,825.29x = 649,743 × 255,965.50
  4. Step 4: Simplify right side
    470,825.29x = 166,311,788,617.79
  5. Step 5: Solve for x
    x = 166,311,788,617.79/470,825.29
  6. Step 6: Final answer
    x = 353,234.62

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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.