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Finding the Fourth Proportional to 463,921.11, 640,226.89 and 442,663.47

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Solution

The fourth proportional to 463,921.11, 640,226.89 and 442,663.47 is: 610,890.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,921.11 : 640,226.89 = 442,663.47 : x
  2. Step 2: Convert to fraction form
    463,921.11/640,226.89 = 442,663.47/x
  3. Step 3: Cross multiply
    463,921.11x = 640,226.89 × 442,663.47
  4. Step 4: Simplify right side
    463,921.11x = 283,405,052,653.87
  5. Step 5: Solve for x
    x = 283,405,052,653.87/463,921.11
  6. Step 6: Final answer
    x = 610,890.62

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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.