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Finding the Fourth Proportional to 468,362, 646,163.16 and 307,305.92

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Solution

The fourth proportional to 468,362, 646,163.16 and 307,305.92 is: 423,966.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,362 : 646,163.16 = 307,305.92 : x
  2. Step 2: Convert to fraction form
    468,362/646,163.16 = 307,305.92/x
  3. Step 3: Cross multiply
    468,362x = 646,163.16 × 307,305.92
  4. Step 4: Simplify right side
    468,362x = 198,569,764,353.91
  5. Step 5: Solve for x
    x = 198,569,764,353.91/468,362
  6. Step 6: Final answer
    x = 423,966.43

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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.