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Finding the Fourth Proportional to 467,083.45, 644,622.78 and 285,915.10

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Solution

The fourth proportional to 467,083.45, 644,622.78 and 285,915.10 is: 394,591.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,083.45 : 644,622.78 = 285,915.10 : x
  2. Step 2: Convert to fraction form
    467,083.45/644,622.78 = 285,915.10/x
  3. Step 3: Cross multiply
    467,083.45x = 644,622.78 × 285,915.10
  4. Step 4: Simplify right side
    467,083.45x = 184,307,386,605.98
  5. Step 5: Solve for x
    x = 184,307,386,605.98/467,083.45
  6. Step 6: Final answer
    x = 394,591.99

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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.