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Finding the Fourth Proportional to 492,602.70, 738,357.30 and 192,983.70

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Solution

The fourth proportional to 492,602.70, 738,357.30 and 192,983.70 is: 289,261.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,602.70 : 738,357.30 = 192,983.70 : x
  2. Step 2: Convert to fraction form
    492,602.70/738,357.30 = 192,983.70/x
  3. Step 3: Cross multiply
    492,602.70x = 738,357.30 × 192,983.70
  4. Step 4: Simplify right side
    492,602.70x = 142,490,923,676.01
  5. Step 5: Solve for x
    x = 142,490,923,676.01/492,602.70
  6. Step 6: Final answer
    x = 289,261.35

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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.