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Finding the Fourth Proportional to 363,898.20, 545,920.20 and 305,140.80

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Solution

The fourth proportional to 363,898.20, 545,920.20 and 305,140.80 is: 457,772.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,898.20 : 545,920.20 = 305,140.80 : x
  2. Step 2: Convert to fraction form
    363,898.20/545,920.20 = 305,140.80/x
  3. Step 3: Cross multiply
    363,898.20x = 545,920.20 × 305,140.80
  4. Step 4: Simplify right side
    363,898.20x = 166,582,526,564.16
  5. Step 5: Solve for x
    x = 166,582,526,564.16/363,898.20
  6. Step 6: Final answer
    x = 457,772.33

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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.