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Finding the Fourth Proportional to 492,162.40, 737,782.80 and 385,487.20

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Solution

The fourth proportional to 492,162.40, 737,782.80 and 385,487.20 is: 577,869.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,162.40 : 737,782.80 = 385,487.20 : x
  2. Step 2: Convert to fraction form
    492,162.40/737,782.80 = 385,487.20/x
  3. Step 3: Cross multiply
    492,162.40x = 737,782.80 × 385,487.20
  4. Step 4: Simplify right side
    492,162.40x = 284,405,825,780.16
  5. Step 5: Solve for x
    x = 284,405,825,780.16/492,162.40
  6. Step 6: Final answer
    x = 577,869.88

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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.