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Finding the Fourth Proportional to 649,420.45, 896,227.91 and 362,940.54

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Solution

The fourth proportional to 649,420.45, 896,227.91 and 362,940.54 is: 500,873.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,420.45 : 896,227.91 = 362,940.54 : x
  2. Step 2: Convert to fraction form
    649,420.45/896,227.91 = 362,940.54/x
  3. Step 3: Cross multiply
    649,420.45x = 896,227.91 × 362,940.54
  4. Step 4: Simplify right side
    649,420.45x = 325,277,441,618.47
  5. Step 5: Solve for x
    x = 325,277,441,618.47/649,420.45
  6. Step 6: Final answer
    x = 500,873.42

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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.