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Finding the Fourth Proportional to 463,921.92, 640,228.01 and 442,664.28

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Solution

The fourth proportional to 463,921.92, 640,228.01 and 442,664.28 is: 610,891.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,921.92 : 640,228.01 = 442,664.28 : x
  2. Step 2: Convert to fraction form
    463,921.92/640,228.01 = 442,664.28/x
  3. Step 3: Cross multiply
    463,921.92x = 640,228.01 × 442,664.28
  4. Step 4: Simplify right side
    463,921.92x = 283,406,071,082.48
  5. Step 5: Solve for x
    x = 283,406,071,082.48/463,921.92
  6. Step 6: Final answer
    x = 610,891.74

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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.