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Finding the Fourth Proportional to 492,355.20, 738,532.80 and 413,623.20

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Solution

The fourth proportional to 492,355.20, 738,532.80 and 413,623.20 is: 620,434.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,355.20 : 738,532.80 = 413,623.20 : x
  2. Step 2: Convert to fraction form
    492,355.20/738,532.80 = 413,623.20/x
  3. Step 3: Cross multiply
    492,355.20x = 738,532.80 × 413,623.20
  4. Step 4: Simplify right side
    492,355.20x = 305,474,300,040.96
  5. Step 5: Solve for x
    x = 305,474,300,040.96/492,355.20
  6. Step 6: Final answer
    x = 620,434.80

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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.