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Finding the Fourth Proportional to 392,616.82, 589,043.46 and 139,864.32

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Solution

The fourth proportional to 392,616.82, 589,043.46 and 139,864.32 is: 209,838.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,616.82 : 589,043.46 = 139,864.32 : x
  2. Step 2: Convert to fraction form
    392,616.82/589,043.46 = 139,864.32/x
  3. Step 3: Cross multiply
    392,616.82x = 589,043.46 × 139,864.32
  4. Step 4: Simplify right side
    392,616.82x = 82,386,162,983.35
  5. Step 5: Solve for x
    x = 82,386,162,983.35/392,616.82
  6. Step 6: Final answer
    x = 209,838.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.