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Finding the Fourth Proportional to 383,485.20, 575,227.80 and 243,862.80

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Solution

The fourth proportional to 383,485.20, 575,227.80 and 243,862.80 is: 365,794.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,485.20 : 575,227.80 = 243,862.80 : x
  2. Step 2: Convert to fraction form
    383,485.20/575,227.80 = 243,862.80/x
  3. Step 3: Cross multiply
    383,485.20x = 575,227.80 × 243,862.80
  4. Step 4: Simplify right side
    383,485.20x = 140,276,661,945.84
  5. Step 5: Solve for x
    x = 140,276,661,945.84/383,485.20
  6. Step 6: Final answer
    x = 365,794.20

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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.