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Finding the Fourth Proportional to 467,475.04, 644,972 and 285,997.80

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Solution

The fourth proportional to 467,475.04, 644,972 and 285,997.80 is: 394,589.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,475.04 : 644,972 = 285,997.80 : x
  2. Step 2: Convert to fraction form
    467,475.04/644,972 = 285,997.80/x
  3. Step 3: Cross multiply
    467,475.04x = 644,972 × 285,997.80
  4. Step 4: Simplify right side
    467,475.04x = 184,460,573,061.60
  5. Step 5: Solve for x
    x = 184,460,573,061.60/467,475.04
  6. Step 6: Final answer
    x = 394,589.14

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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.