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Finding the Fourth Proportional to 465,738.14, 699,095.78 and 412,769

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Solution

The fourth proportional to 465,738.14, 699,095.78 and 412,769 is: 619,586.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,738.14 : 699,095.78 = 412,769 : x
  2. Step 2: Convert to fraction form
    465,738.14/699,095.78 = 412,769/x
  3. Step 3: Cross multiply
    465,738.14x = 699,095.78 × 412,769
  4. Step 4: Simplify right side
    465,738.14x = 288,565,066,014.82
  5. Step 5: Solve for x
    x = 288,565,066,014.82/465,738.14
  6. Step 6: Final answer
    x = 619,586.50

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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.