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Finding the Fourth Proportional to 469,751.96, 648,249.20 and 285,923.96

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Solution

The fourth proportional to 469,751.96, 648,249.20 and 285,923.96 is: 394,569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,751.96 : 648,249.20 = 285,923.96 : x
  2. Step 2: Convert to fraction form
    469,751.96/648,249.20 = 285,923.96/x
  3. Step 3: Cross multiply
    469,751.96x = 648,249.20 × 285,923.96
  4. Step 4: Simplify right side
    469,751.96x = 185,349,978,330.83
  5. Step 5: Solve for x
    x = 185,349,978,330.83/469,751.96
  6. Step 6: Final answer
    x = 394,569.89

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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.