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Finding the Fourth Proportional to 392,747, 589,166.64 and 140,063.41

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Solution

The fourth proportional to 392,747, 589,166.64 and 140,063.41 is: 210,111.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,747 : 589,166.64 = 140,063.41 : x
  2. Step 2: Convert to fraction form
    392,747/589,166.64 = 140,063.41/x
  3. Step 3: Cross multiply
    392,747x = 589,166.64 × 140,063.41
  4. Step 4: Simplify right side
    392,747x = 82,520,688,656.64
  5. Step 5: Solve for x
    x = 82,520,688,656.64/392,747
  6. Step 6: Final answer
    x = 210,111.57

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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.